This is a really cool paper but of no practical value. There is also a video that expounds upon the paperon Google Video called quantum money. Very fascinating stuff. But no one except the authors understands the proposal and they don't know if someone hasn't found a flaw in it. If a genius like Peter Shor is still struggling with the theory you can forget about quantum money coming to fruition in whats left of our lifetimes.
http://www.google.com/url?sa=t&source=web&cd=1&sqi=2&ved=0CBoQtwIwAA&url=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DHaJEDyahLZY&ei=iKs0TZqzO4LZgAeTm6TZCw&usg=AFQjCNFmqXsLDXb6BOceFB6uoQglJi6C-QEven the knots thing is just a proposal to get quantum money (first proposed in 69) off the ground. No one has proven that will will work. And if the theory was proven the technology to implement this even if it does work does not exist. We don't have quantum computers and we don't have a quantum internet.
Bitcoin works on existing infrastructure and works on technology that exists now. Bitcoin is cutting edge technology. You need a PhD in applied mathematics computer science and cryptography to understand how it works in detail. It is difficult enough for the average Joe to understand just the practical side of Bitcoin. They will learn to trust it and embrace it on reputation alone. Quantum money is so far out it might as well be talking about Teleporters and Warp Drives (Star Trek).