arXiv:1004.5127quant-ph
Quantum money from knots
Abstract
Quantum money is a cryptographic protocol in which a mint can produce a quantum state, no one else can copy the state, and anyone (with a quantum computer) can verify that the state came from the mint. We present a concrete quantum money scheme based on superpositions of diagrams that encode oriented links with the same Alexander polynomial. We expect our scheme to be secure against computationally bounded adversaries.
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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