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数理解析研究所講究録

An Unbiased Global Coin Flipping Protocol on Synchronous Distributed Systems

Kunikazu Yoda, 寿男 岡部, 正憲 金澤

Published May 1, 1996• 0 citations
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Coin flipping is a cryptographic primitive in which two distrustful parties wish to generate a random bit to choose between two alternatives. This task is impossible to realize when it relies solely on the asynchronous exchange of classical bits: one dishonest player has complete control over the final outcome. It is only when coin flipping is supplemented with quantum communication that this problem can be alleviated, although partial bias remains. Unfortunately, practical systems are subject to loss of quantum data, which allows a cheater to force a bias that is complete or arbitrarily close to complete in all previous protocols and implementations. Here we report on the first experimental demonstration of a quantum coin-flipping protocol for which loss cannot be exploited to cheat better. By eliminating the problem of loss, which is unavoidable in any realistic setting, quantum coin flipping takes a significant step towards real-world applications of quantum communication. When two spatially separated parties flip a coin, it is impossible to choose between two alternatives in an unbiased manner. This study presents a quantum coin-flipping protocol that overcomes this problem and ensures a dishonest party cannot bias the outcome completely.

arXiv:0904.3946•Nature Communications•Nov 29, 2011•54 citations
We present a distributed protocol for achieving totally unbiased global coin flipping in the presence of an adversary.We consider a synchronous system of nnn processors at most ttt of which may be corrupted and manipu- lated by a malicious adversary.We assume a complete network where every two processors are connected via a private channel.Our protocol is deterministic and assumes a very powerful adversary.Although it cannot eavesdrop, it is computationally unbounded, capable of rushing and dynamic.This is the same model that is adopted in Yao's global coin flipping protocol [Yao84], which we use as the base of our pro- tocol.Our protocol tolerates almost n/3n/3n/3 processor failures and terminates in t+4t+4t+4 rounds.The resilience of our protocol is greatly improved from that of Yao's protocol at the expense of running time, which is only added just two rounds.
Coin flipping is a cryptographic primitive in which two distrustful parties wish to generate a random bit to choose between two alternatives. This task is impossible to realize when it relies solely on the asynchronous exchange of classical bits: one dishonest player has complete control over the final outcome. It is only when coin flipping is supplemented with quantum communication that this problem can be alleviated, although partial bias remains. Unfortunately, practical systems are subject to loss of quantum data, which allows a cheater to force a bias that is complete or arbitrarily close to complete in all previous protocols and implementations. Here we report on the first experimental demonstration of a quantum coin-flipping protocol for which loss cannot be exploited to cheat better. By eliminating the problem of loss, which is unavoidable in any realistic setting, quantum coin flipping takes a significant step towards real-world applications of quantum communication. When two spatially separated parties flip a coin, it is impossible to choose between two alternatives in an unbiased manner. This study presents a quantum coin-flipping protocol that overcomes this problem and ensures a dishonest party cannot bias the outcome completely.