Secure Multi-Party Computation with a Dishonest Majority via Quantum Means

Details Secure Multi-Party Computation with a Dishonest Majority via Quantum Means Secure Multi-Party Computation with a Dishonest Majority via Quantum Means

2009-06-12

arxiv.org/abs/0906.2297v4

Phys. Rev. A 81, 062336 (2010)

Physics

Quantum Physics

8 pages, 1 figure, Revised to address referee comments, includes a clearer definition of security model, more secure protocols

Scientific paper

10.1103/PhysRevA.81.062336

We introduce a scheme for secure multi-party computation utilising the quantum correlations of entangled states. First we present a scheme for two-party computation, exploiting the correlations of a Greenberger-Horne-Zeilinger state to provide, with the help of a third party, a near-private computation scheme. We then present a variation of this scheme which is passively secure with threshold t=2, in other words, remaining secure when pairs of players conspire together provided they faithfully follow the protocol. We show that this can be generalised to computations of n-party polynomials of degree 2 with a threshold of n-1. The threshold achieved is significantly higher than the best known classical threshold, which satisfies the bound t

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