NDLI: Quantum leader election

Content Provider	Springer Nature Link
Author	Ganz, Maor
Copyright Year	2017
Abstract	A group of n individuals $$A_{1},\ldots A_{n}$$ 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 at least $$\frac{1}{n}-\epsilon $$ chance of winning ( $$\forall \epsilon >0$$ ), 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 derived by Mochon (Quantum weak coin flipping with arbitrarily small bias, arXiv:0711.4114 , 2000) in 2007, and recently published and simplified in Aharonov et al. (SIAM J Comput, 2016). A protocol with linear number of coin flipping rounds is quite simple to achieve; we further provide an improvement to logarithmic number of coin flipping rounds. This is a much improved journal version of a preprint posted in 2009; the first protocol with linear number of rounds was achieved independently also by Aharon and Silman (New J Phys 12:033027, 2010) around the same time.
Starting Page	1
Ending Page	17
Page Count	17
File Format	PDF
ISSN	15700755
Journal	Quantum Information Processing
Volume Number	16
Issue Number	3
e-ISSN	15731332
Language	English
Publisher	Springer US
Publisher Date	2017-02-02
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Leader election Quantum leader elections Quantum coin flipping Quantum Information Technology, Spintronics Quantum Computing Data Structures, Cryptology and Information Theory Quantum Physics Mathematical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Theoretical Computer Science Signal Processing Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering Modeling and Simulation

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