TY - JOUR
T1 - Quantum Version of a Generalized Monty Hall Game and Its Possible Applications to Quantum Secure Communications
AU - Quezada, Luis Fernando
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2020 Wiley-VCH GmbH
PY - 2021/1
Y1 - 2021/1
N2 - In this work, the authors propose a quantum version of a generalized Monty Hall game, that is, one in which the parameters of the game are left free and not fixed on its regular values. The developed quantum scheme is then used to study the expected payoff of the player, using both a separable and an entangled initial-state. In the two cases, the classical mixed-strategy payoff is recovered under certain conditions. Lastly, the authors extend the quantum scheme to include multiple independent players, and use this extension to sketch two possible application of the game mechanics to quantum networks, specifically, two validated, multi-party, key-distribution quantum protocols.
AB - In this work, the authors propose a quantum version of a generalized Monty Hall game, that is, one in which the parameters of the game are left free and not fixed on its regular values. The developed quantum scheme is then used to study the expected payoff of the player, using both a separable and an entangled initial-state. In the two cases, the classical mixed-strategy payoff is recovered under certain conditions. Lastly, the authors extend the quantum scheme to include multiple independent players, and use this extension to sketch two possible application of the game mechanics to quantum networks, specifically, two validated, multi-party, key-distribution quantum protocols.
KW - Monty Hall game
KW - entangled states
KW - quantum networks
UR - http://www.scopus.com/inward/record.url?scp=85096652996&partnerID=8YFLogxK
U2 - 10.1002/andp.202000427
DO - 10.1002/andp.202000427
M3 - Artículo
AN - SCOPUS:85096652996
SN - 0003-3804
VL - 533
JO - Annalen der Physik
JF - Annalen der Physik
IS - 1
M1 - 2000427
ER -