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Bitcoin => Bitcoin Discussion => Topic started by: Hyena on June 22, 2013, 07:47:21 AM



Title: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Hyena on June 22, 2013, 07:47:21 AM
http://www.naturalnews.com/040859_Skynet_quantum_computing_D-Wave_Systems.html

So, does that mean Bitcoin is soon to become irrelevant?


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: DeathAndTaxes on June 22, 2013, 07:54:41 AM
No.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Hyena on June 22, 2013, 08:00:23 AM
No.

Yes.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: apetersson on June 22, 2013, 08:03:07 AM
it is both doomed and not doomed at the same time.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: lucas.sev on June 22, 2013, 08:06:54 AM
https://i.imgur.com/EHpnY.gif


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jubalix on June 22, 2013, 08:10:58 AM

we need a quantum computer to solve this

also a bit more on yes or no cases


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: freedomno1 on June 22, 2013, 08:13:39 AM

we need a quantum computer to solve this

also a bit more on yes or no cases
+1
I'm doing a Schrodinger's cat
https://i.imgur.com/EHpnY.gif


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Skinnkavaj on June 22, 2013, 09:24:28 AM
Here is a video interview with D-Wave Chief Scientist, Eric Ladizinsky
http://www.youtube.com/watch?v=fArXhQBLDWE

Quantum Journey


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: cypherdoc on June 22, 2013, 11:35:29 AM
Try actually reading this article.

My eyes glazed over 1/3 of the way through from all the FUD.

Author has a wild imagination.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Remember remember the 5th of November on June 22, 2013, 12:10:49 PM
Try actually reading this article.

My eyes glazed over 1/3 of the way through from all the FUD.

Author has a wild imagination.
I do agree that at some point, the author did become a bit delusional and started writing FUD.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: s40ward on June 22, 2013, 04:18:46 PM


rofl ;D


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: TippingPoint on June 22, 2013, 04:24:41 PM

It is like one of those Yin-Yang kind of things, but not exactly.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: SaltySpitoon on June 22, 2013, 04:53:47 PM
"According to Google and NASA, this computer will be tasked with research in the realm of "machine learning"

Oh no, they are going to use this computer, In Space?



Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: grue on June 22, 2013, 05:04:42 PM
>natural news
top lel


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: smoothie on June 22, 2013, 05:05:49 PM
Sounds legit.  ;) :P


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jackjack on June 22, 2013, 05:10:13 PM
Quote
Skynet
Anyone?


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Melbustus on June 22, 2013, 05:57:00 PM
First, how about read the actual original article instead of someone's interpretation of it: http://www.nature.com/news/google-and-nasa-snap-up-quantum-computer-1.12999

Second, the article notes that any problem designed for this computer can still be done faster on existing classical computing resources.

Third, quantum has been discussed quite a bit on here before. I'll leave OP to search, but IIRC, bitcoin is quantum-resistant in that if practical and powerful quantum computers existed, the bit-space for the crypto problems bitcoin uses would be reduced, but would still be huge.



Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Bitcoin Roll on June 22, 2013, 06:38:28 PM
 A multi million dollar machine set to get bitcoins doesn't make a lot of sense.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Gabi on June 22, 2013, 06:47:22 PM
Quote
vaccines would never harm
children
Tinfoil hat DETECTED


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jackjack on June 22, 2013, 07:01:06 PM
A multi million dollar machine set to get kill bitcoins doesn't make a lot of sense.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: johnyj on June 22, 2013, 08:55:39 PM
I want to pre-order USB powered Quavalon mining rig that do 1PH/s  :D


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Vanderi on June 23, 2013, 10:10:48 AM
and, EVERYBODY PANIC


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: becoin on June 23, 2013, 10:22:23 AM
Yes, this is the correct answer.

Quote
512-qubit Quantum Computer acquired, is bitcoin doomed?
Qubit Quantum Computer = Qubitcoin.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jackjack on June 23, 2013, 11:54:12 AM

No, it is not. It is doomed, it is not doomed and it is both doomed and not doomed. In quantum world, there are three states.
Wrong, there are infinite states, that's what make it that useful


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Come-from-Beyond on June 23, 2013, 12:28:59 PM

No, it is not. It is doomed, it is not doomed and it is both doomed and not doomed. In quantum world, there are three states.
Wrong, there are infinite states, that's what make it that useful


Wrong, number of states is a very big but finite number.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jackjack on June 23, 2013, 01:03:56 PM

No, it is not. It is doomed, it is not doomed and it is both doomed and not doomed. In quantum world, there are three states.
Wrong, there are infinite states, that's what make it that useful


Wrong, number of states is a very big but finite number.

Wrong (http://en.wikipedia.org/wiki/Quantum_superposition)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Come-from-Beyond on June 23, 2013, 01:11:13 PM

No, it is not. It is doomed, it is not doomed and it is both doomed and not doomed. In quantum world, there are three states.
Wrong, there are infinite states, that's what make it that useful


Wrong, number of states is a very big but finite number.

Wrong (http://en.wikipedia.org/wiki/Quantum_superposition)

Wrong (http://en.wikipedia.org/wiki/God)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jackjack on June 23, 2013, 01:12:19 PM

No, it is not. It is doomed, it is not doomed and it is both doomed and not doomed. In quantum world, there are three states.
Wrong, there are infinite states, that's what make it that useful


Wrong, number of states is a very big but finite number.

Wrong (http://en.wikipedia.org/wiki/Quantum_superposition)

Wrong (http://en.wikipedia.org/wiki/God)

Wrong (http://en.wikipedia.org/wiki/Flying_Spaghetti_Monster)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Come-from-Beyond on June 23, 2013, 01:18:59 PM
Touché


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: FlappySocks on June 23, 2013, 01:20:30 PM
Have you seen Hash Grease? It uses quantum technology from NASA.
https://bitcointalk.org/index.php?topic=240760


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Jason on June 23, 2013, 02:10:56 PM
Scott Aaronson has commented numerous times on the so-called quantum computer produced by D-Wave.  Here is an excerpt from his blog (full article available at http://www.scottaaronson.com/blog/?p=954):

"The second question is one that I’ve encountered many times on the blogosphere: who cares how D-Wave’s system works, and whether it does or doesn’t exploit quantum coherence, as long as it solves practical problems faster?  Sure, maybe what D-Wave is building is really a series of interesting, useful, but still basically “classical” annealing devices.  Maybe the word “quantum” is functioning here as the stone in a stone soup: attracting money, interest, and talented people to build something that, while neat, ultimately doesn’t much depend on quantum mechanics at all.  As long as D-Wave’s (literal!) black box solves the problem instances in such-and-such amount of time, why does it matter what’s inside?"

"To see the obtuseness of this question, consider a simple thought experiment: suppose D-Wave were marketing a classical, special-purpose, $10-million computer designed to perform simulated annealing, for 90-bit Ising spin glass problems with a certain fixed topology, somewhat better than an off-the-shelf computing cluster.  Would there be even 5% of the public interest that there is now?  I think D-Wave itself would be the first to admit the answer is no."

A brief summary is that the D-Wave "quantum computer" referenced by the OP may not even be a quantum computer and will certainly not be a threat to Bitcoin without further major scientific breakthroughs.

Here is Scott's Bio from his latest book, "Quantum Computing since Democritus," which is highly recommended for those interested in the subject:

Scott Aaronson is an Associate Professor of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology. Considered one of the top quantum complexity theorists in the world, he is well known both for his research in quantum computing and computational complexity theory, and for his widely read blog Shtetl-Optimized. Professor Aaronson also created Complexity Zoo, an online encyclopedia of computational complexity theory, and has written popular articles for Scientific American and The New York Times. His research and popular writing have earned him numerous awards, including the United States Presidential Early Career Award for Scientists and Engineers and the Alan T. Waterman Award.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: esenminer on June 23, 2013, 08:41:57 PM
Even if D-WAVE could do SHA256 the best algorithm for brute forcing it using quantum computers in 2^(n/2) compared with 2^n for classical computers.

By implementing SHA512, bitcoins would be just as secure from quantum computers as they are from classical computers.

See for reference:

http://en.wikipedia.org/wiki/Key_size#Effect_of_quantum_computing_attacks_on_key_strength


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: leopard2 on June 23, 2013, 10:04:14 PM
I want to pre-order USB powered Quavalon mining rig that do 1PH/s  :D

Is Butterfly Labs taking preorders for those yet?

Absolutely, delivery is scheduled for October.  ;D


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: coinage on June 23, 2013, 11:26:57 PM
First, how about read the actual original article instead of someone's interpretation of it: http://www.nature.com/news/google-and-nasa-snap-up-quantum-computer-1.12999

Second, the article notes that any problem designed for this computer can still be done faster on existing classical computing resources.

Well, the article doesn't quite say that  (and in fact it's thought this type of device, more evolved, may be able to yield results vastly faster than any conventional computer, on large optimization problems).

But it does amusingly present a superposition of answers, both implying -- and not implying! -- that this particular device may be faster than conventional computers at what it does:

Quote
D-Wave hired an outside expert in algorithm-racing, who concluded that the speed of the D-Wave Two was above average overall, and that it was 3,600 times faster than a leading conventional computer when working on the specific type of problem that the quantum computer was built to solve.

Whether D-Wave will make for faster-running or better artificial-intelligence systems is yet to be seen. Lidar says that he has seen faster solvers. “Every problem we have tested can still be solved faster on classical computers,” he says.

What would matter to us is whether these annealing devices can be used for universal quantum computing. Surprisingly, there are claims that this should be possible, though the number of qubits required would be greater than with a gate-based system, and there might be sacrifices in speed as well.

Regardless, there are enough reasonable paths to true quantum computing that in a few years it seems we will want to upgrade at least the signing protocol, or stop the convenient practice of reusing bitcoin addresses after the first spend.

The latter option would bring an end to static vanity, donation, and green addresses (though the last two could be replaced with other, dynamic mechanisms if needed).


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: DeathAndTaxes on June 24, 2013, 05:22:34 AM
Even if D-WAVE could do SHA256 the best algorithm for brute forcing it using quantum computers in 2^(n/2) compared with 2^n for classical computers.

By implementing SHA512, bitcoins would be just as secure from quantum computers as they are from classical computers.

See for reference:

http://en.wikipedia.org/wiki/Key_size#Effect_of_quantum_computing_attacks_on_key_strength

The threat of Quantum computers isn't breaking SHA256 (or any hashing algorithm) it is in theory performing a faster than brute force attack on public key cryptography such as ECDSA used by Bitcoin but the system in the OP isn't a threat to Bitcoin for a variety of reasons.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: ktttn on June 24, 2013, 05:31:44 AM
No.
By the time QC gets used for cryptocracking or mining, Bitcoin will be using entanglement cryptography.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jubalix on June 24, 2013, 07:01:20 AM
here is a defacto sticky on QC's

Quote
https://bitcointalk.org/index.php?topic=182331.0


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: kwukduck on June 24, 2013, 07:14:23 AM
Quickly sell all your bitcoins! Oh wait nevermind you guys are already working on that. Tnx for cheap coins.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Lauda on June 24, 2013, 07:39:40 AM
No it's not.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: bluemeanie1 on June 24, 2013, 08:07:29 AM
Here is a video interview with D-Wave Chief Scientist, Eric Ladizinsky
http://www.youtube.com/watch?v=fArXhQBLDWE

Quantum Journey

this is a good video, thanks for posting.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: bluemeanie1 on June 24, 2013, 08:23:15 AM
D-Wave also has a fairly good introductory tutorial on Quantum Computing for programmers:

http://www.dwavesys.com/en/dev-tutorial-intro.html


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Operatr on June 24, 2013, 10:01:41 AM
Quantum cryptography. Problem solved


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Lauda on June 24, 2013, 04:58:09 PM
I wouldn't worry if it presented a risk, developers could patch it up with something more resistant to quantum computers.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: tacotime on June 24, 2013, 05:42:58 PM
The search space for private keys via ECDSA is reduced from 2^128 to 2^64 using Shor's algorithm if I recall correctly, so not really.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: RoadToHell on June 24, 2013, 06:11:14 PM
I want to pre-order USB powered Quavalon mining rig that do 1PH/s  :D

Is Butterfly Labs taking preorders for those yet?

No, but I am.  Send your share bids to the address in my profile.

Due to the Heisenberg uncertainty principle, the more we check on the delivery date the harder it will be to lock it down.  Right now delivery will be at some point in the future and I don't want to risk anything by trying to be more precise.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: etotheipi on June 24, 2013, 06:28:36 PM
Unless D-Wave has changed their direction in the last 5 years (the last time I checked in with their progress), nothing they are doing actually constitutes a "real quantum computer".  When I say "real," I mean one of those quantum computers that actually leverages quantum interference to solve problems, which could be used to break not just Bitcoin cryptography, but all the cryptography on which the internet is based.  If this was a real problem, you can be sure that alarm bells would be ringing around the world, and for much more than just Bitcoin. 

Real quantum computers aren't just faster -- they solve problems differently.  Shor's algorithm takes integer factorization from O(ecuberoot(N)) on a classical computer to O(N2) on a quantum computer.  This isn't just faster -- this makes a whole class of essentially-unsolvable problems, solvable (including the discrete logarithm problem on which Bitcoin crypto is based). 

Yes, you can get a speedup on pure-guessing problems using Grover's algorithm -- from O(2N) to O(2N/2).  That's a unique capability that QCs can exploit, but the least interesting in terms of breaking cryptosystems.  Most crypto systems use key sizes big enough that even if you halved the keysize, it would still be secure.  And the defense is to just double your keysizes, once, and the problem goes away.  But not with Shor's algorithm -- the whole class of problems is compromised.

D-Wave has always been a joke in the world of QCs.  What they are doing is cool, and they may be developing technology that is somewhat related to QCs, but they shouldn't be using the phrase "Quantum Computing" in their product name, because that terms is reserved for a whole new class of computing systems, not classical computers that use quantum bits to do things classically faster.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: bluemeanie1 on June 24, 2013, 06:44:02 PM
Unless D-Wave has changed their direction in the last 5 years (the last time I checked in with their progress), nothing they are doing actually constitutes a "real quantum computer".  When I say "real," I mean one of those quantum computers that actually leverages quantum interference to solve problems, which could be used to break not just Bitcoin cryptography, but all the cryptography on which the internet is based.  If this was a real problem, you can be sure that alarm bells would be ringing around the world, and for much more than just Bitcoin.  

Real quantum computers aren't just faster -- they solve problems differently.  Shor's algorithm takes integer factorization from O(ecuberoot(N)) on a classical computer to O(N2) on a quantum computer.  This isn't just faster -- this makes a whole class of essentially-unsolvable problems, solvable (including the discrete logarithm problem on which Bitcoin crypto is based).  

Yes, you can get a speedup on pure-guessing problems using Grover's algorithm -- from O(2N) to O(2N/2).  That's a unique capability that QCs can exploit, but the least interesting in terms of breaking cryptosystems.  Most crypto systems use key sizes big enough that even if you halved the keysize, it would still be secure.  And the defense is to just double your keysizes, once, and the problem goes away.  But not with Shor's algorithm -- the whole class of problems is compromised.

D-Wave has always been a joke in the world of QCs.  What they are doing is cool, and they may be developing technology that is somewhat related to QCs, but they shouldn't be using the phrase "Quantum Computing" in their product name, because that terms is reserved for a whole new class of computing systems, not classical computers that use quantum bits to do things classically faster.

etotheipi, an article I just ran into that reflects your comments here : http://www.scottaaronson.com/blog/?p=1400

It's true that when you cross over into the commercial arena, you typically encounter disjoints between promises and reality.  Whenever you get enough public interest in some scientific idea, eg. Quantum Computing, someone will claim to be delivering it despite it being impossible.

There are projects being advertised right here in this forum, that claim even to be Open Source, that don't even come close to living up to the claims made about it.

Quote
because once one slices through all the layers of ugh—the rigged comparisons, the “dramatic announcements” that mean nothing, the lazy journalists cherry-picking what they want to hear and ignoring the inconvenient bits

sounds a lot like a project I know...


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jackjack on June 26, 2013, 03:23:04 PM
Quantum computing is possible


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: defaced on June 26, 2013, 08:50:19 PM
dooomed, dump all your btc now

:trlf:


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Lauda on June 26, 2013, 08:52:23 PM
dooomed, dump all your btc now

:trlf:
Dump to me @1$ each, don't worry it's a good investment the price of $ will rise by 1% psst!  ::)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jackjack on June 26, 2013, 09:12:42 PM
I'd take them at $20 each
Beware they may contain viruses too


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: psystyle on July 07, 2013, 11:36:48 PM

maybe  ;D


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: QuestionAuthority on July 07, 2013, 11:47:37 PM
Yes, Bitcoin is doomed so give me all your coins and run away like a little school girl that had her first period in a white skirt at the school cafeteria.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: freedomno1 on July 08, 2013, 08:49:55 AM
Yes, Bitcoin is doomed so give me all your coins and run away like a little school girl that had her first period in a white skirt at the school cafeteria.

So detailed  ;)

Edits In: Question Authority wants to be a little girl
(Moot)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Boussac on July 08, 2013, 10:56:06 AM

+1
Best geek joke of the day.
Then again quantum computing lends itself to easy geek jokes..


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: fenican on July 09, 2013, 02:06:38 AM
Nice quote from Umesh Vazirani, a professor at UC Berkeley on the D-Wave hardware:

"even if it turns out to be a true quantum computer, and even if it can be scaled to thousands of qubits, would likely not be more powerful than a cell phone"

Great skepticism out there as to whether D-Wave is doing anything truly Quantum or, rather, is just building dedicated hardware to create approximate, not exact (i.e. useless for Crypto) solutions to complex problems.

Nothing D-Wave is doing will have any effect of the strength of cryptography they are definitely NOT building general purpose quantum computers or quantum computers that can break high grade cryptography algorithms.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Cyrus17 on July 10, 2013, 11:24:51 PM
No.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: kjj on July 11, 2013, 05:16:01 AM
By now, there are so many threads on quantum computers that to have missed them all is simply impossible.  Just typing the word "quantum" into the search box gives 28 pages of results.

We need a time out corner.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: StarfishPrime on July 11, 2013, 03:08:17 PM
Quantum computing = the "hydrogen-powered car" of computer research.

Always "just around the corner", lots of hype and FUD, but never quite moving beyond a technical curiosity. The only way quantum computing could generate more baseless hype is if someone ports the litecoin client to run on a D-Wave box  :)

Quantum computing will be big for many things, but cracking bitcoin keys - or running Windows 8 -  are probably not two of them.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Lauda on July 11, 2013, 04:32:27 PM
Quantum computing = the "hydrogen-powered car" of computer research.

Always "just around the corner", lots of hype and FUD, but never quite moving beyond a technical curiosity. The only way quantum computing could generate more baseless hype is if someone ports the litecoin client to run on a D-Wave box  :)

Quantum computing will be big for many things, but cracking bitcoin keys - or running Windows 8 -  are probably not two of them.
last part +1


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: polarhei on July 11, 2013, 04:40:41 PM
If the being can run on normal conditions... The being requires helium (close to zero K) to stablize the operation. Of the being can be operated with nitrogen (L), then the bitcoin may be doomed.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: DeathAndTaxes on July 11, 2013, 11:08:44 PM
Quantum computing will be big for many things, but cracking bitcoin keys - or running Windows 8 -  are probably not two of them.

Well in theory a true general purpose quantum computer with a massive number of quibits (say 30,000+) would be very useful for breaking all types of public key cryptographic including ECDSA used by Bitcoin.

The good news is like you said it is one of those things (economical fusion power being another) which has been "so close" for decades now.  The other thing is that DWAVE computer isn't a general purpose quantum computer so while the threat exists it is still academical at this point.



Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: 1PFYcabWEwZFm2Ez5LGTx3ftz on July 12, 2013, 12:16:14 AM
http://www.naturalnews.com/040859_Skynet_quantum_computing_D-Wave_Systems.html

So, does that mean Bitcoin is soon to become irrelevant?
This article almost seemed serious, until I saw the words: "[Raymond] Kurzweil is <...> the leader of the transhumanist cult -- a group of insane technology worshippers who believe they will upload their minds into quantum computers and 'merge with the machines,' achieving some weird shadow of immortality (in the same way, I suppose, that a photograph of you makes you 'immortal.')"

Then I stopped reading.

I can bet, that at least some of the technology used to write that article, was invented by the genius Raymond Kurzweil. The author (Mike Adams) is a disgusting excuse of a human being.

It is both sad and scary, that such people as the Mike Adams exist. It means, that a war between neo-Luddites and technically-savvy people is inevitable.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Duff___Man on December 14, 2013, 09:22:44 PM
Schroedinger's Bitcoin?


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Rez on December 14, 2013, 10:00:13 PM
Quote
vaccines would never harm
children
Tinfoil hat DETECTED

Come on, polio - just try to infect my child. I have HERBS, bitch.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: zimmah on December 14, 2013, 11:46:00 PM
Quantum computing = the "hydrogen-powered car" of computer research.

Always "just around the corner", lots of hype and FUD, but never quite moving beyond a technical curiosity. The only way quantum computing could generate more baseless hype is if someone ports the litecoin client to run on a D-Wave box  :)

Quantum computing will be big for many things, but cracking bitcoin keys - or running Windows 8 -  are probably not two of them.

just like cold fusion.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: QuestionAuthority on December 14, 2013, 11:56:02 PM
Looks like it might be closer than you all think.

http://www.cbc.ca/m/touch/technology/story/1.2426986


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Bitcoin Oz on December 14, 2013, 11:57:44 PM
More likely to help improve their search and thus their targeted advertising through learning from your past searches etc. Google is becoming self aware in other words.

This also has applications for their cars that can drive themselves etc.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: EvilPanda on December 15, 2013, 12:19:02 AM
http://www.naturalnews.com/040859_Skynet_quantum_computing_D-Wave_Systems.html

So, does that mean Bitcoin is soon to become irrelevant?
When they announced the great hadron collider, there was a group of idiots writing articles how it's gonna open a portal to another dimension or suck Earth into a black hole.
This is exactly the same level of journalism.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: zimmah on December 15, 2013, 12:25:06 AM
http://www.naturalnews.com/040859_Skynet_quantum_computing_D-Wave_Systems.html

So, does that mean Bitcoin is soon to become irrelevant?
When they announced the great hadron collider, there was a group of idiots writing articles how it's gonna open a portal to another dimension or suck Earth into a black hole.
This is exactly the same level of journalism.

what if we actually did get sucked into an alternate universe but we didn't realize, and the people at power now are the ones behind the LHC and they trapped us in a matrix like scheme, and satoshi is also one of the guys from the original universe, but he has gone rogue.

and now they're trying to make really powerful agents to stop the bitcoin threath.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Taras on December 15, 2013, 12:31:29 AM

No, it is not. It is doomed, it is not doomed and it is both doomed and not doomed. In quantum world, there are three states.
Wrong, there are infinite states, that's what make it that useful


Wrong, number of states is a very big but finite number.

Wrong (http://en.wikipedia.org/wiki/Quantum_superposition)

Wrong (http://en.wikipedia.org/wiki/God)

Wrong (http://en.wikipedia.org/wiki/Flying_Spaghetti_Monster)
Wrong (https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcSO54Xz6fiER98aB3fryKt6ysvK0kVeHc7RytkF1hbhPpkGFMBN)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: lorix on December 15, 2013, 12:36:17 AM
Bitcoin isn't doomed.

Quantum computers have the potential to be hashing monsters in the near term should anyone come up with a Quantum Miner to crunch SHA256 algos, but the algorithm that protects our keys is Elliptic Curve cryptography based which is many orders or magnitude higher.

That's not to say it's impossible for Quantum Computers to catch up.

But even if this was the case, the moment any real risk came up we always have the option of having Bitcoin's equivalent of a constitutional amendment, a hard fork. Provided it was properly managed, scheduled and agreed on there is no reason a stronger encryption function couldn't be implemented onto the blockchain.

Think about the transition from IPV4 to IPV6 - it didn't stop the old addresses from working, it just added the extra functionality on top and anyone who wanted to take advantage of the new functionality simply opts into it.

Much the same for Bitcoin, there just has to be consensus.

So quit worrying - Bitcoin is community run and can evolve to handle anything that gets thrown at it.  8)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: DeathAndTaxes on December 15, 2013, 12:45:48 AM
Quantum computers have the potential to be hashing monsters in the near term should anyone come up with a Quantum Miner to crunch SHA256 algos, but the algorithm that protects our keys is Elliptic Curve cryptography based which is many orders or magnitude higher.

You have this exactly backwards.   Quantum computers are  not particularly effective at breaking symetric encryption algorithms and hashing algorithms.   

The massive potential in encryption cracking comes from Shor's algorithm which only works on public key (asymmetric) encryption algorithms like ECDSA.   That being said the qubits requires to break 256 bit key is ~30,000 and the largest general purpose quantum computer to date is 7 qubits.

Still as you point out Bitcoin can be extended to provide quantum resistant address schemes however it also provides immediate protection in another way.  If you don't foolishly reuse an address the pubkey is unknown to an attacker until funds are spent (payments are to the pubkeyhash) and Shor's algorithm is only possible against private keys where the attacker knows the pubkey.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: nate008 on December 15, 2013, 12:57:36 AM
Quantum computers have the potential to be hashing monsters in the near term should anyone come up with a Quantum Miner to crunch SHA256 algos, but the algorithm that protects our keys is Elliptic Curve cryptography based which is many orders or magnitude higher.

You have this exactly backwards.   Quantum computers are  not particularly effective at breaking symetric encryption algorithms and hashing algorithms.   

The massive potential in encryption cracking comes from Shor's algorithm which only works on public key (asymmetric) encryption algorithms like ECDSA.   That being said the qubits requires to break 256 bit key is ~30,000 and the largest general purpose quantum computer to date is 7 qubits.

Still as you point out Bitcoin can be extended to provide quantum resistant address schemes however it also provides immediate protection in another way.  If you don't foolishly reuse an address the pubkey is unknown to an attacker until funds are spent (payments are to the pubkeyhash) and Shor's algorithm is only possible against private keys where the attacker knows the pubkey.

Sorry , but is that a true and working quantum computer?


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: EvilPanda on December 15, 2013, 01:01:09 AM
http://www.naturalnews.com/040859_Skynet_quantum_computing_D-Wave_Systems.html

So, does that mean Bitcoin is soon to become irrelevant?
When they announced the great hadron collider, there was a group of idiots writing articles how it's gonna open a portal to another dimension or suck Earth into a black hole.
This is exactly the same level of journalism.

what if we actually did get sucked into an alternate universe but we didn't realize, and the people at power now are the ones behind the LHC and they trapped us in a matrix like scheme, and satoshi is also one of the guys from the original universe, but he has gone rogue.

and now they're trying to make really powerful agents to stop the bitcoin threath.
Then only the chosen one can save us, or someone with a red pill  ;)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: DeathAndTaxes on December 15, 2013, 01:29:38 AM
Sorry , but is that a true and working quantum computer?

Yes it was able to factor 21 into 7 & 3.  One capable of breaking a 256 bit ECDSA key would need to be 4000x to 5000x larger and there has been essentially no progress in building even modestly larger QC (i.e. one that could break an already obsolete 32 bit key in a reasonable amount of time) in the last decade.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: QuestionAuthority on December 15, 2013, 01:51:36 AM
Sorry , but is that a true and working quantum computer?

Yes it was able to factor 21 into 7 & 3.  One capable of breaking a 256 bit ECDSA key would need to be 4000x to 5000x larger and there has been essentially no progress in building even modestly larger QC (i.e. one that could break an already obsolete 32 bit key in a reasonable amount of time).

What you're saying is that nothing available in the present or near future can work against Bitcoin. If something capable were developed in the distant future we would simply fork Bitcoin with an improvement that defeats it. This thread should be finished now.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Phinnaeus Gage on December 15, 2013, 01:53:53 AM
http://www.naturalnews.com/040859_Skynet_quantum_computing_D-Wave_Systems.html

So, does that mean Bitcoin is soon to become irrelevant?
When they announced the great hadron collider, there was a group of idiots writing articles how it's gonna open a portal to another dimension or suck Earth into a black hole.
This is exactly the same level of journalism.

what if we actually did get sucked into an alternate universe but we didn't realize, and the people at power now are the ones behind the LHC and they trapped us in a matrix like scheme, and satoshi is also one of the guys from the original universe, but he has gone rogue.

and now they're trying to make really powerful agents to stop the bitcoin threath.

Excellent! At least I know that in another timeline I did not don a pink tutu in Las Vegas, albeit I pity them souls that were forced to listen to the Bitcoin for Goats presentation.

~TMIBTCITW

PS: This thread should be finished now.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jellies on December 15, 2013, 03:11:03 AM
I found the paper in May that put two different qubit chips up against software and hardware solvers in a very specific class of problem, and the results were that with a problem that is most suitable for the chip it found a solution in half a second, several thousand times faster than the best traditional methods.

There were a lot of ifs/buts and exceptions however the V5 and V6 chips tested, when given the right kind of problem, were indeed able to solve it (it was an annealing problem) in a grand flash.

A clear eyed summary on that May paper, and the D-Wave devices is here: http://spectrum.ieee.org/computing/hardware/dwaves-year-of-computing-dangerously

I've no doubt that quantum computing is going to be an arms race, and it will start to solve in parallel more problems over time. Whether that includes searching for keys or cryptography I've no idea but if it does you CAN BET THAT NSA WILL NOT TELL US ABOUT IT.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Cryptolator on December 15, 2013, 06:00:35 AM
That's a bit scary ! :/


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: AnonyMint on December 15, 2013, 08:04:21 AM
I will bring my linked blog into play here on my Theory of Everything.

Quantum superposition is due to the emergent derivation that matter is relative to itself (http://unheresy.com/The%20Universe.html#Matter_as_a_continuum).

When we measure something, i.e. form coherence, it is only valid in our local coherent delusion because (http://unheresy.com/The%20Universe.html#Edge_of_the_universe) it is always aliasing error on the universal scale.

Traditional CMOS electronics constrain quantum effects to local measurement components, i.e. transistors so the potential increased global degrees-of-freedom due to entanglement across the entire circuit are destroyed, i.e. made coherent by quantizing each logic gate locally within the circuit. In other words, pre-mature coherence.

A black hole is superpositioned matter. If we could superposition ourselves, we wouldn't be perceivable (not coherent) in a local reality.

Entanglement doesn't mean two quantum particles are joined across great distance, rather that can be an aliasing error effect that we perceive in the local 3D context. It means that quantum particles (actually waves) can interact on universal global scale (i.e. distance is irrelevant). You see in the superpositioned universe, there are infinite dimensions thus 3D is just a local delusion. When I use the terms local and global I am not referring to distance in 3D, rather to limited versus unlimited perspectives (aka samples or measurements). In superpositioned matter there are infinite perspectives thus no one single coherent realization and thus the black hole-- maximally disordered ether. Now you know what anti-matter is.

This isn't hand waving. This is the only description of the universe that can be logically globally coherent. I discussed these concepts in another thread (https://bitcointalk.org/index.php?topic=342848.msg3789199#msg3789199) and another one (https://bitcointalk.org/index.php?topic=355212.msg3852724#msg3852724).

So the challenge of quantum computing is to build a circuit that allows computation to proceed in the maximally disordered ether, while quantizing only the result of the computation.

The arguable criticism of the D-Wave system is it may not be enabling entanglement between the qubits, i.e. they are just akin to supercooled transistors which locally have two (finite) superpositioned states each.

Edit: many details omitted for brevity.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: jackjack on December 15, 2013, 11:05:39 AM
I'd like to see papers about that


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: DeathAndTaxes on December 15, 2013, 06:28:24 PM
I found the paper in May that put two different qubit chips up against software and hardware solvers in a very specific class of problem, and the results were that with a problem that is most suitable for the chip it found a solution in half a second, several thousand times faster than the best traditional methods.

There were a lot of ifs/buts and exceptions however the V5 and V6 chips tested, when given the right kind of problem, were indeed able to solve it (it was an annealing problem) in a grand flash.

A clear eyed summary on that May paper, and the D-Wave devices is here: http://spectrum.ieee.org/computing/hardware/dwaves-year-of-computing-dangerously

I've no doubt that quantum computing is going to be an arms race, and it will start to solve in parallel more problems over time. Whether that includes searching for keys or cryptography I've no idea but if it does you CAN BET THAT NSA WILL NOT TELL US ABOUT IT.


One thing I have pointed out in the past (and likely will need to continue to point out for a very long time ) is that DWAVE's system implements (or it stated to implement there is some controversy over exact what is happening) quantum annealing algorithm which while it does (or may) have some quantum properties is not the same thing as a general purpose quantum computer.

To attack public encryption requires a general purpose quantum computer (QPQC) capable of implementing Shor's algorithm (or one built to only implement ONLY Shor's algorithm, a quantum "ASIC" if you will).  Even if DWAVE's computer was a quadrillion qubits it would be absolutely useless for attacking public encryption.  

The global recognition for successfully factoring larger numbers using a GPQC and Shor's algorithm is a pretty big deal.  To date nobody publicly has shown the ability to factor numbers larger than 143 (an 8 bit number).  Even factoring 32 bit numbers at commercially viable speeds would probably mean we are decades away from being able to break 256 bit ECC keys but we aren't even close to that.  While QC is powerful in theory, practical progress has also been agonizingly slow:

2001
First successful demonstration of Shor's algorithm.
Computer size:  7 qubits
Number factored: 15 (into the factors 5 & 3)
Equivelent RSA keysize: 4 bit

2011
First successful factorization of a three digit number (143)
Computer size:  8 qubits (actually 4 bits using an iterative process)
Number factored: 143 (into the factors 11 & 13)
Equivelent RSA keysize: 8 bit

So the bit strength of "encryption" (I use this term loosely because one could crack 8 bit "encryption" with paper and pencil) that can be broken using QC has gone from 4 bit to 8 bit after a decade of research.  Even if this can scale, at the current growth rate breaking Bitcoin would be more than a lifetime away.  ECDSA is a little different than RSA in that it doesn't involve factoring large numbers and instead uses the properties of elliptical curves but both can be broken using Shor's algorithm.  In general ECC requires smaller keys than RSA for an equivelent level of security.  To achieve 128 bit key strength (which is considered beyond brute force for classical computing) using ECDSA requires 256 bits, but using RSA requires 3,072 bits. Bitcoin could use RSA and be just as secure however transactions would be up 12x as large.  

Still both RSA and ECC in theory can be broken faster than what is possible with classical computing by using a large enough (and fast enough) quantum computer implementing Shor's algorithm. I have only found one paper to date which compares the qubit cost of implementing Shor's algorithm against both RSA & ECC.

Quote
6.3 Comparison with the quantum factoring algorithm

One of the main points of this paper is that the computational “quantum advantage”
is larger for elliptic curve discrete logarithms than for the better known
integer factoring problem. With our proposed implementation we have in particular
achieved similar space and time requirements. Namely the number of qubits needed is
also of O(n) and the number of gates (time) of order O(n^3)),
although in both cases
the coefficient is larger. Note that the input size n is also the key size for RSA resp.
ECC public key cryptography. Because the best known classical algorithms for breaking
ECC scale worse with n than those for breaking RSA, ECC keys with the same computational
security level are shorter. Below is a table with such key sizes of comparable security
(see e.g. [25]). The column to the right roughly indicated the classical computing resources
necessary in multiples of C, where C is what’s barely possible today (see. e.g. the RSA
challenges [26] or the Certicom challenges [27]). Breaking the keys of the last
line seems [15,360 RSA or 512 bit ECDSA] to be beyond any conceivable classical computation,
at least if the presently used algorithms can’t be improved.

<chart removed due to pdf formatting - someone can replicate it into html from the link if they like it>
Summary:
Breaking 256 bit ECDSA (128 bit key strength) requires 1800 logical qubits and a time of 6.0*10^9 operations.
Breaking 512 bit ECDSA (256 bit key strength) requires 3600 logical qubits and a time of 5.0*10^9 operations.


Where f(n) and f'(n) are as in section 6.2 with ǫ = 10. The time for the
quantum algorithms is listed in units of “1-qubit additions”, thus the number
of quantum gates in an addition network per length of the registers involved.
This number is about 9 quantum gates, 3 of which are the (harder to implement)
Toffoli gates (see e.g. [5]). Also it seems very probable that for large scale
quantum computation error correction or full fault tolerant quantum computation
techniques are necessary. Then each of our “logical” qubits has to be encoded
into several physical qubits (possibly dozens) and the “logical” quantum gates
will consist of many physical ones.
Of course this is true for both quantum
algorithms and so shouldn't affect the above comparison. The same is true for
residual noise (on the logical qubits) which will decrease the success probability
of the algorithms. The quantum factoring algorithm (RSA) may have one advantage,
namely that it seems to be easier to parallelise.
http://arxiv.org/pdf/quantph/0301141.pdf  I emphasis of relevant portions is by me.  

So we are looking at a general purpose quantum computer which needs at least 1,800 logical qubits.  Nobody (AFAIK) has even done research on the amount of error correction required for a commercial general purpose quantum computer (because none exists) but lets take the authors estimate of "dozens of physical qubits per logical qubit" and use 24x as a low end.   This would mean (1,800 * 24) a system with 43,200 or more physical qubits.  To put that into perspective the largest (AFAIK please correct me if you find a larger example) general purpose quantum computer capable of implementing Shor's algorithm is ... 7 qubits so we aren't eve in striking range yet.

Still QC "may" may break 256 bit ECDSA within our lifetime, so should be looking to future solutions.  There are a couple things which can be done to improve the quantum security of the Bitcoin network.  The simplest change would be to implement a new address type which uses a larger ECC curve.  While larger ECDSA keys can sitll be broken they do increase the qubit requirements, moving to 512 bit keys doubles the required qubits and 1,024 will quadruple them.  If GPQC proves viable this would buy the network some time for a longer term solution.  I don't even know if 1,024 bit ECC is supported by major libraries, outside of quantum computing there is little need for 1,024 bit ECC because even 256 bit ECC is considered beyond brute force. 

A longer term and more complex solution would be moving to an address scheme based on a post-quantum algorithms (http://en.wikipedia.org/wiki/Post-quantum_cryptography).  These systems generally have no wide spread deployment so there may be unknown security issues so I am not advocating a change anytime soon just pointing out there are algorithms which can be used to protect the network even if large GPQC become available.   The largest obstacle to these post quantum systems is generally they involve much much larger public keys.  The bandwidth and storage requirements of Bitcoin are highly correlated to the size of the public key and we are talking about public keys in the tens of kilobytes (notice the plural) so transactions and blocks would be easily a hundred times larger.   Now it is entirely possible that Moore's law will mitigate this somewhat,  and stat using a 50,000 byte key in 2048 will be no more of a challenge then using a 256 bit key today.

For those who are interested in post quantum cryptography one implementation (which has open source implementation) is NTRU.  It is likely far too early to consider any such implementation in a production system but implementing a patched version of bitcoin on testnet which incorporates NTRU would be an interesting project.

Quote from: “Quantum Resistant Public Key Cryptography” - NIST
Of the various lattice based cryptographic schemes that have been developed, the NTRU family of cryptographic algorithms appears to be the most practical...smallest key size...highest performance.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Cryptolator on December 15, 2013, 06:40:02 PM
I found the paper in May that put two different qubit chips up against software and hardware solvers in a very specific class of problem, and the results were that with a problem that is most suitable for the chip it found a solution in half a second, several thousand times faster than the best traditional methods.

There were a lot of ifs/buts and exceptions however the V5 and V6 chips tested, when given the right kind of problem, were indeed able to solve it (it was an annealing problem) in a grand flash.

A clear eyed summary on that May paper, and the D-Wave devices is here: http://spectrum.ieee.org/computing/hardware/dwaves-year-of-computing-dangerously

I've no doubt that quantum computing is going to be an arms race, and it will start to solve in parallel more problems over time. Whether that includes searching for keys or cryptography I've no idea but if it does you CAN BET THAT NSA WILL NOT TELL US ABOUT IT.


One thing I have pointed out in the past (and likely will need to continue to point out for a very long time ) is that DWAVE's system implements (or it stated to implement there is some controversy over exact what is happening) quantum annealing algorithm which while it does (or may) have some quantum properties is not the same thing as a general purpose quantum computer.

To attack public encryption requires a general purpose quantum computer (QPQC) capable of implementing Shor's algorithm (or one built to only implement ONLY Shor's algorithm, a quantum "ASIC" if you will).  Even if DWAVE's computer was a quadrillion qubits it would be absolutely useless for attacking public encryption.   

The global recognition for successfully factoring larger numbers using a GPQC and Shor's algorithm is a pretty big deal.  To date nobody publicly has shown the ability to factor numbers larger than 143 (an 8 bit number).  Progress has also been agonizingly slow:

2001
First successful demonstration of Shor's algorithm.
Computer size:  7 qubits
Number factored: 15 (into the factors 5 & 3)
Equivelent RSA keysize: 4 bit

2011
First successful factorization of a three digit number (143)
Computer size:  8 qubits (actually 4 bits using an iterative process)
Number factored: 143 (into the factors 11 & 13)
Equivelent RSA keysize: 8 bit

So the bit strength of "encryption" (I use this term loosely because one could crack 8 bit encryption with paper and pencil) has roughly doubled after a decade of research.  Even if growth continues it would be 80+ years before even current RSA keys could be compromised using Quantum Computing and moving to larger keys is always possible.  ECDSA is a little different than RSA in that it doesn't involve factoring large numbers and instead uses the properties of elliptical curves.  In general ECC based keys have a higher bit strength then the equivelent sized key using RSA.  This is one reason that ECC was used over RSA for Bitcoin.  To achieve 128 bit security (which is considered beyond brute force for classical computing) requires a 256 bit ECDSA key but requires a 3,072 bit key.  Using RSA would be just as secure but transactions would be up 12x as large. 

Still both RSA and ECC in theory can be broken faster than what is possible with classical computing by using a large enough (and fast enough) quantum computer implementing Shor's algorithm. I have only found one paper to date which compares the qubit cost of implementing Shor's algorithm against both RSA & ECC.

Quote
6.3 Comparison with the quantum factoring algorithm
One of the main points of this paper is that the computational “quantum advantage”
is larger for elliptic curve discrete logarithms than for the better known
integer factoring problem. With our proposed implementation we have in particular
achieved similar space and time requirements. Namely the number of qubits needed is
also of O(n) and the number of gates (time) of order O(n^3)),
although in both cases
the coefficient is larger. Note that the input size n is also the key size for RSA resp.
ECC public key cryptography. Because the best known classical algorithms for breaking
ECC scale worse with n than those for breaking RSA, ECC keys with the same computational
security level are shorter. Below is a table with such key sizes of comparable security
(see e.g. [25]). The column to the right roughly indicated the classical computing resources
necessary in multiples of C, where C is what’s barely possible today (see. e.g. the RSA
challenges [26] or the Certicom challenges [27]). Breaking the keys of the last
line seems [15,360 RSA or 512 bit ECDSA] to be beyond any conceivable classical computation,
at least if the presently used algorithms can’t be improved.

<chart removed due to pdf formatting - someone can replicate it into html if they like>
Summary:
Breaking 256 bit ECDSA (128 bit key strength) requires 1800 logical qubits and a time of 6.0*10^9 operations.
Breaking 512 bit ECDSA (256 bit key strength) requires 3600 logical qubits and a time of 5.0*10^9 operations.


Where f(n) and f'(n) are as in section 6.2 with ǫ = 10. The time for the
quantum algorithms is listed in units of “1-qubit additions”, thus the number
of quantum gates in an addition network per length of the registers involved.
This number is about 9 quantum gates, 3 of which are the (harder to implement)
Toffoli gates (see e.g. [5]). Also it seems very probable that for large scale
quantum computation error correction or full fault tolerant quantum computation
techniques are necessary. Then each of our “logical” qubits has to be encoded
into several physical qubits (possibly dozens) and the “logical” quantum gates
will consist of many physical ones.
Of course this is true for both quantum
algorithms and so shouldn't affect the above comparison. The same is true for
residual noise (on the logical qubits) which will decrease the success probability
of the algorithms. The quantum factoring algorithm (RSA) may have one advantage,
namely that it seems to be easier to parallelise.

I bolded the important portions.  So we are looking at a general purpose quantum computer which needs at least 1,800 logical qubits.  Nobody (AFAIK) has even done research on the amount of error correction required for a commercial general purpose quantum computer (because none exists) but lets take the authors estimate of "dozens of physical qubits per logical qubit" and use 24x as a low end.   This 1,800 * 24 = 43,200 physical qubits.  To put that into perspective the largest (AFAIK please correction if you find a larger example) general purpose quantum computer capable of implenting Shor's algorithm is ... 7 qubits. 

Still this may happen within our lifetime.  There are a couple things which can be done.  The simplest would be to implement a new address type which uses a larger ECC curve.  512 bit keys doubles the required qubits and 1,024 will quadruple them.  If GPQC proves viable this would buy the network some time for a longer term solution.  I don't know if 1,024 bit ECC even exist simply because 256 bit keys are consider beyond brute force and 512 bit is beyond beyond brute force.  A longer term and more complex solution would be moving to address schemes based on post-quantum algorithms (http://en.wikipedia.org/wiki/Post-quantum_cryptography).  The largest issue with these systems other than the fact that they have no widespread deployment and thus there may be unknown flaws is that generally they involve much much larger public keys.  The bandwidth and storage requirements of Bitcoin are highly correlated to the size of the public key and we are talking about public keys in the kilobytes (notice the plural) range so 80x to 200x larger than current 256 bit public keys.   Now it is entirely possible that in the future the effect of Moore's law on available storage and bandwidth will mean that 50,000 bytes in 2048 is no larger than 256 bytes today on a relative basis.





That's a bit reassuring ! :)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: QuestionAuthority on December 15, 2013, 07:03:43 PM
To summarize, the OP is wrong. Bitcoin is not doomed because 256 bit keys are beyond brute force using anything that can be manufactured and we could always fork Bitcoin to 512 which is beyond beyond brute force but that will create a blockchain requiring a hard drive the size of Chevy van. lol


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: bitcoinpsftp on December 15, 2013, 07:33:56 PM
No chance.  I don't see the encryption on bitcoin being beaten in our lifetimes, or that of our children's.  Maybe in the very late future.  But if bitcion is doomed, EVERY SINGLE secure process on the internet is too.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: corebob on December 15, 2013, 08:00:08 PM
Whow, he makes Iranian nuclear bombs look like the last straw of hope for the human race


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: bitcoinpsftp on December 15, 2013, 08:04:03 PM
No need to nuke anyone.  Just blow up some nukes in space, and have the beautiful EMP burn all technology alive.  Then, we won't have to worry about any form of hacking for many years to come!


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: BurtW on April 30, 2015, 12:51:16 AM
Seems like the appropriate thread for this:

http://www.eetimes.com/document.asp?doc_id=1326468&_mc=NL_EET_EDT_EET_daily_20150429&cid=NL_EET_EDT_EET_daily_20150429&elq=a59559bfb7664cde842c7b2bb9e68b8c&elqCampaignId=22769&elqaid=25618&elqat=1&elqTrackId=6252292228f14224804cfbfa4bed4c75


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: romjpn on April 30, 2015, 02:35:39 AM
Quantum computing = the "hydrogen-powered car" of computer research.

Always "just around the corner", lots of hype and FUD, but never quite moving beyond a technical curiosity. The only way quantum computing could generate more baseless hype is if someone ports the litecoin client to run on a D-Wave box  :)

Quantum computing will be big for many things, but cracking bitcoin keys - or running Windows 8 -  are probably not two of them.

But hydrogen cars are already operational in Germany.
They even produce solid hydrogen now.
I think it might catch up in the next decade as some countries like Japan or European countries will want to get away from oil.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: tokeweed on April 30, 2015, 02:42:26 AM

I like how you stopped posting at 666.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: QuestionAuthority on April 30, 2015, 02:44:27 AM
Seems like the appropriate thread for this:

http://www.eetimes.com/document.asp?doc_id=1326468&_mc=NL_EET_EDT_EET_daily_20150429&cid=NL_EET_EDT_EET_daily_20150429&elq=a59559bfb7664cde842c7b2bb9e68b8c&elqCampaignId=22769&elqaid=25618&elqat=1&elqTrackId=6252292228f14224804cfbfa4bed4c75

IBM reports it works well for almost 15 seconds before bursting into a ball of flames. They expect great results as soon as they work out a way to bury it in the core of the ice planet Neptune.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: soulcity on April 30, 2015, 02:59:09 AM
"There is as yet insufficient data for a meaningful answer."


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Lauda on April 30, 2015, 05:11:44 AM
Seems like the appropriate thread for this:

http://www.eetimes.com/document.asp?doc_id=1326468&_mc=NL_EET_EDT_EET_daily_20150429&cid=NL_EET_EDT_EET_daily_20150429&elq=a59559bfb7664cde842c7b2bb9e68b8c&elqCampaignId=22769&elqaid=25618&elqat=1&elqTrackId=6252292228f14224804cfbfa4bed4c75
IBM reports it works well for almost 15 seconds before bursting into a ball of flames. They expect great results as soon as they work out a way to bury it in the core of the ice planet Neptune.
This just means that the news is useless. They haven't figured out a 'working quantum computer'. How can you say that something is working if it isn't stable for longer than 15 seconds?
I wouldn't worry about QComputers right now at the moment. Maybe in the future we will have to consider changing algorithms.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: AGD on April 30, 2015, 06:55:39 AM
Nice article.
I think the Skynet robots will keep using Bitoins after they have destroyed the human race, because they will think it's perfect. I don't see any problem for Bitcoin here. Chill.


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: BurtW on April 30, 2015, 11:21:31 PM
Here is a great exchange from a "mass storage and other technical stuff" related email list that I subscribe to discussing this IBM breakthrough:

First were the questions:

Quote
As an ex IBM Research guy, this sounds like a product of the IBM Research PR dept. They are really good.  However, maybe some of you can answer the following dumb questions.
 
1.       I thought the quandary of practical implementation of high Qubit computers was that the Qubits all had to communicate with their environment (that is, other Qubits), without communicating with their environment (the thermal sea of other interacting  fluctuations leading to quantum decoherence).  Does this IBM advance in what seems like ECC resolve this quandary?
2.       The press release says:” Once a quantum computer is perfected it will not only be able to crack any encryption code today and make new uncrackable codes..”
I thought that Schorrs algorithm showed an approach to factoring giant numbers into prime numbers in polynomial time on quantum computers caused concern about the current approach to asymmetric codes (public/private keys that are really important), but   other approaches to asymmetric code(someone on this list  mentioned knapsack) and also transpositional (hash) codes (Bitcoin for infamous example)  had no known algorithm for solving in polynomial time on quantum computers, so describing this advance as  cracking any encryption code is overstated. .So, is the press release overstated on cracking any encryption code today.?
3.     Is it proven that quantum computers can’t solve transpositional codes or other codes (besides factoring primes) in polynomial time, or could it just be we haven’t discovered the algorithm?

Then the reply to the questions:

Quote
Hi Bob,

I don't have time right now to give a larger rundown, but:

1. Quantum Error Correction is a very well-researched field. See
Devitt's "QEC for beginners" paper, if you're interested:
http://arxiv.org/abs/0905.2794
Yes, you have the general characterization of the problem right -- you
want qubits that are easy to control but don't interact with the
environment, and those two characteristics are contradictory.
2. I'm actually not aware of any research on using quantum computers
to make better encryption schemes. The usual problem is that they have
confused quantum key distribution (QKD) with quantum computing, and
QKD doesn't exactly solve the problems created by Shor's algorithm.
Shor will impact authentication mechanisms, breaking RSA and friends,
but QKD in fact *still depends on authentication*, so it's not a fix.
As to other specific encryption algorithms, I'm not up on the details,
but there is an irregular series of conferences on post-quantum
cryptography, and I think the next one is here in Japan:
http://pqcrypto.org/
3. Same as above, don't know.

As systems people, a good place for you to start might be my CACM
article from 2013:
http://cacm.acm.org/magazines/2013/10/168172-a-blueprint-for-building-a-quantum-computer/fulltext
it should be open access, you shouldn't need an ACM membership to fetch it.

If you are interested in networks, in particular, in fact last year I
published a book on quantum repeater networks. My apologies for the
price, that wasn't my decision:
http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1848215371.html

I was asked by someone else about the specific numbers in the press
release. Sorry, my answer is kind of technical and relates to the
surface code form of error correction, but:

Are these 8,13,17,49 some kind of magic numbers ?

I?m not sure where the 8 comes from (other than that?s what they think
they can make), but the 13 and 17 very likely come from Clare?s
lattice surgery paper:
http://iopscience.iop.org/1367-2630/14/12/123011/article;jsessionid=B9EB904155288C40375C2DEE81165F77.c2

17 is enough to demonstrate distance 3 (d=3) surface code qubit,
including all of the stabilizer syndrome qubits. If you reuse some of
the syndrome qubits, you can do it with 13 physical qubits instead,
but then you have to wait longer for one cycle of QEC, so it?s only a
win if your memory is high fidelity. At distance 3, you can *really,
truly* correct *any* single error that occurs on your qubits.

I?m not sure where the 49 comes from. Shota, is 49 the right number
for some larger lattice?

53 is the number you really want ? arrange them as in Fig. 18 in
Clare's paper, and you can do a CNOT between two d=3 logical qubits,
and you would have the world?s first true, error protected quantum
*computation*. I would guess that 53 is the number that both Google
and IBM are really shooting for in the next five years or less...

So the IBM work is a very big advance. The PR is even better.

--Rod

Plus a follow on posting:

Quote
btw, one of the big reasons that quantum error correction is hard is
that extracting syndromes requires touching the qubits. We are
accustomed to thinking about error correction as something that is
done after the error channel itself, e.g. after transmission or
reading from a disk, and that the error correction process itself
doesn't introduce errors beyond the mathematical limitations. But
imagine if the circuit that calculates your syndromes itself has an
error rate of several percent and might accidentally overwrite even
the already error-prone data you are trying to correct. That's what
it's like in quantum.

In the research literature, you sometimes read papers that say that
errors can be corrected up to about 10%, or even 50% in some cases,
but those are hypothetical systems in which the extraction of
syndromes is perfect -- very far from the real world.

--Rod


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: leopard2 on May 02, 2015, 07:11:41 PM
for those who are too busy/lazy to read D&T's statement, my interpretation is:

If QC starts to look like a threat to Bitcoin over the coming decades, a hardfork could be done into a new set of software and blockchain, that is QC proof. Basically a migration.

The only thing is that this migration has to be done early enough to prevent an (QC proof) altcoin from taking over.  ;)


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: Amph on May 02, 2015, 07:57:30 PM
for those who are too busy/lazy to read D&T's statement, my interpretation is:

If QC starts to look like a threat to Bitcoin over the coming decades, a hardfork could be done into a new set of software and blockchain, that is QC proof. Basically a migration.

The only thing is that this migration has to be done early enough to prevent an (QC proof) altcoin from taking over.  ;)

the problem i could see, if they don't  disclose the release of a possible working machine, and keeps it secret, this could be a real issue


Title: Re: 512-qubit Quantum Computer acquired, is bitcoin doomed?
Post by: manselr on May 02, 2015, 08:38:41 PM
This is basically a science fiction entertainment for those that have too much free time. No, SHA256 is still safe, and if it cracked, the banking system would collapse as well since everything is running under SHA256 those days, from ATMs to electronic payment systems that each bank has implemented for their internet transactions, Paypal would get hit hard as well.