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Entropy 2015, 17(11), 7645-7657; doi:10.3390/e17117645

Quantum Game Beats Classical Odds—Thermodynamics Implications

Entropic Power Corporation, 3980 Del Mar Meadows, San Diego, CA 92130, USA
Academic Editor: Antonio M. Scarfone
Received: 21 August 2015 / Revised: 2 October 2015 / Accepted: 26 October 2015 / Published: 9 November 2015
(This article belongs to the Section Statistical Mechanics)
View Full-Text   |   Download PDF [2532 KB, uploaded 23 November 2015]   |  

Abstract

A quantum game is described making use of coins embodied as entangled Fermions in a potential energy well. It is shown that the odds are affected by the Pauli Exclusion Principle. They depend on the elevation in the energy well where the coins are selected, ranging from being a certainty of winning at the bottom of the well to being near classical at the top. These odds differ markedly from those in a classical game in which they are independent of elevation. The thermodynamics counterpart of the quantum game is discussed. It is shown that the temperature of a Maxwellian gas column in a potential energy gradient is independent of elevation. However, the temperature of a Fermion gas is shown to drop with elevation. The game and the gas column utilize the same components. When Fermions are used, a shifting of odds is produced in the game and a shifting of kinetic energy is produced in the thermodynamic experiment, leading to a spontaneous temperature gradient. View Full-Text
Keywords: quantum game; second law; entropy; Fermi–Dirac; Maxwell–Boltzmann; Fermion; Boson; temperature gradient; statistical mechanics; quantum mechanics quantum game; second law; entropy; Fermi–Dirac; Maxwell–Boltzmann; Fermion; Boson; temperature gradient; statistical mechanics; quantum mechanics
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Levy, G. Quantum Game Beats Classical Odds—Thermodynamics Implications. Entropy 2015, 17, 7645-7657.

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