English

Quantum money from knots

Quantum Physics 2010-04-30 v1 Cryptography and Security

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.

Keywords

Cite

@article{arxiv.1004.5127,
  title  = {Quantum money from knots},
  author = {Edward Farhi and David Gosset and Avinatan Hassidim and Andrew Lutomirski and Peter Shor},
  journal= {arXiv preprint arXiv:1004.5127},
  year   = {2010}
}

Comments

22 pages, 5 figures

R2 v1 2026-06-21T15:16:05.964Z