Physics – Quantum Physics
Scientific paper
2009-10-26
Physics
Quantum Physics
15 pages, 3 figures
Scientific paper
A group of n individuals who do not trust each other and are located far away from each other, want to select a leader. This is the leader election problem, a natural extension of the coin flipping problem to n players. We want a protocol which will guarantee that an honest player will have almost 1/n chance of winning, regardless of what the other players do (whether they are honest, cheating alone or in groups). It is known to be impossible classically. This work gives a simple algorithm that does it, based on the weak coin flipping protocol with arbitrarily small bias recently derived by Mochon [2007]. The protocol is quite simple to achieve if the number of rounds is linear; We provide an improvement to logarithmic number of rounds.
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