Duality Games and Operational Duality Relations

Physical Review Letters
Emilio BaganMark Hillery

Abstract

We give operational meaning to wave-particle duality in terms of discrimination games. Duality arises as a constraint on the probability of winning these games. The games are played with the aid of an n-port interferometer, and involve 3 parties, Alice and Bob, who cooperate, and the House, who supervises the game. In one game called ways they attempt to determine the path of a particle in the interferometer. In another, called phases, they attempt to determine which set of known phases have been applied to the different paths. The House determines which game is to be played by flipping a coin. We find a tight wave-particle duality relation that allows us to relate the probabilities of winning these games, and use it to find an upper bound on the probability of winning the combined game. This procedure allows us to express wave-particle duality in terms of discrimination probabilities.

References

Jan 1, 1995·Physical Review. a·G JaegerL Vaidman
Sep 9, 1996·Physical Review Letters·B G Englert
Oct 18, 2014·Physical Review Letters·T BaumgratzM B Plenio
Dec 20, 2014·Nature Communications·Patrick J ColesStephanie Wehner
Apr 9, 2016·Physical Review Letters·Andreas Winter, Dong Yang
Apr 30, 2016·Physical Review Letters·Carmine NapoliGerardo Adesso
May 8, 2016·Physical Review Letters·Emilio BaganMark Hillery
Oct 22, 2016·Physical Review Letters·Gael SentísRamon Muñoz-Tapia

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Citations

Jun 17, 2020·Optics Letters·Bibhash PaulTabish Qureshi
Jan 23, 2021·Entropy·Dongyang WangXuejun Yang

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