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As far as I gather generating a new block requiers solving the problem
find x so that H(H(x)) < eps
where H() is the hashing function, x is the input and eps is a (small) integer. I think this is solved today by a brute force method. Miners try many variations of x until they stumble upon a solution. Making eps smaller makes the problem harder.
What happens if in 5 years there will be a quantum computer that can solve this problem very quickly with eps = 0 ? Will that be the end of bitcoin?
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