Dilemma that cannot be resolved by biased quantum coin flipping

Details Dilemma that cannot be resolved by biased quantum coin flipping Dilemma that cannot be resolved by biased quantum coin flipping

2007-03-13

arxiv.org/abs/quant-ph/0703099v5

Phys. Rev. Lett. 100, 070501 (2008)

Physics

Quantum Physics

5 pages and 1 figure. Accepted version

Scientific paper

10.1103/PhysRevLett.100.070501

We show that a biased quantum coin flip (QCF) cannot provide the performance of a black-boxed biased coin flip, if it satisfies some fidelity conditions. Although such a QCF satisfies the security conditions of a biased coin flip, it does not realize the ideal functionality, and therefore, does not fulfill the demands for universally composable security. Moreover, through a comparison within a small restricted bias range, we show that an arbitrary QCF is distinguishable from a black-boxed coin flip unless it is unbiased on both sides of parties against insensitive cheating. We also point out the difficulty in developing cheat-sensitive quantum bit commitment in terms of the uncomposability of a QCF.

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