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Entropy 2019, 21(3), 263; https://doi.org/10.3390/e21030263

Quantum Discord, Thermal Discord, and Entropy Generation in the Minimum Error Discrimination Strategy

1
Centro de Óptica e Información Cuántica, Facultad de Ciencias, Universidad Mayor, Camino La Pirámide N°5750, Huechuraba, Santiago, Chile
2
Departamento de Física, Universidad de Concepción, 160-C Concepción, Chile
3
Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte-MG 31270-901, Brazil
*
Author to whom correspondence should be addressed.
Current address: Millennium Institute for Research in Optics, Universidad de Concepción, 160-C Concepción, Chile.
Received: 25 January 2019 / Revised: 22 February 2019 / Accepted: 1 March 2019 / Published: 8 March 2019
(This article belongs to the Special Issue Entropy in Foundations of Quantum Physics)
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Abstract

We study the classical and quantum correlations in the minimum error discrimination (ME) of two non-orthogonal pure quantum states. In particular, we consider quantum discord, thermal discord and entropy generation. We show that ME allows one to reach the accessible information between the two involved parties, Alice and Bob, in the discrimination process. We determine the amount of quantum discord that is consumed in the ME and show that the entropy generation is, in general, higher than the thermal discord. However, in certain cases the entropy generation is very close to thermal discord, which indicates that, in these cases, the process generates the least possible entropy. Moreover, we also study the ME process as a thermodynamic cycle and we show that it is in agreement with the second law of thermodynamics. Finally, we study the relation between the accessible information and the optimum success probability in ME. View Full-Text
Keywords: minimum error discrimination; accessible information; discord; second law of thermodynamics minimum error discrimination; accessible information; discord; second law of thermodynamics
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Jiménez, O.; Solís-Prosser, M.A.; Neves, L.; Delgado, A. Quantum Discord, Thermal Discord, and Entropy Generation in the Minimum Error Discrimination Strategy. Entropy 2019, 21, 263.

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