Quantum money from knots
Edward Farhi, David Gosset, Avinatan Hassidim, Andrew Lutomirski, Peter W. Shor · 2012
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.