Quantum money from knots · HackerPapers discussions

Quantum money from knots — mentioned by amluto

Mon, 31 Oct 2022 19:10:57 GMT

I worked on a fun project involving knots once: https://arxiv.org/pdf/1004.5127.pdf This uses knots as a mathematical structure in a quantum cryptosystem. I tried to make the paper accessible without letting it get bogged down in irrelevant details.

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Quantum money from knots — mentioned by zitterbewegung

Fri, 18 Aug 2017 14:31:39 GMT

In theory quantum key distribution systems (AKA quantum cryptography) are unbreakable. In practice they aren't. See http://www.qudev.ethz.ch/content/QSIT15/Q_Cryptography_Q_Hac... https://phys.org/news/2015-12-quantum-cryptography-vulnerabl... P.S. They describe a property where the money can't be cloned which seems to be further explored in this paper which the author has commented on this thread (see amluto). https://arxiv.org/pdf/1004.5127.pdf (Quantum Money from Knots) .

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Quantum money from knots — mentioned by amluto

Fri, 18 Aug 2017 04:48:47 GMT

It's unclear to me why one might want to use quantum blockchain-based money when there are reasonable proposals for blockchain-free quantum money, e.g. [1]. In any event, I didn't bother reading most of the qBitcoin paper because of things like this: > First of all, we need to consider how to transmit a coin made of quantum information. The best way, at the present, will be to employ quantum teleportation [2, 3], which succeeds in transforming quantum information to remote places. Great benefit to use the quantum teleportation is that the quantum information cannot remain the original place…

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Quantum money from knots — mentioned by amluto

Sat, 08 Oct 2016 06:14:36 GMT

Best abstract ever. Sadly, the quantum money scheme it's based on is insecure [1]. (IIRC the concrete version was broken earlier using quantum state restoration [2] -- shameless plug!) The concept is extremely cool, though, and I hope they find an alternate construction for it. I suspect it will be very hard to base it on the Farhi et al. money [3] because that scheme has no secrets at all, which means that the public key doesn't naturally map onto it. On the other hand, it just might be possible to shoehorn it in by using the list of valid serial numbers as the (rather long but very…

Paper and discussion history. A mention is not an endorsement.