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Article

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

1
Centro de Óptica e Información Cuántica, Facultad de Ciencias, Universidad Mayor, Camino La Pirámide N°5750, Huechuraba 8580745, Chile
2
Departamento de Ciencias Físicas, Universidad de La Frontera, Temuco 4811230, Chile
3
Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte 31270-901, Brazil
4
Departamento de Física, Universidad de Concepción, P.O. BOX 160-C, Concepción 4070043, Chile
*
Author to whom correspondence should be addressed.
Current address: Millennium Institute for Research in Optics, Universidad de Concepción, P.O. BOX 160-C, Concepción 4070043, Chile.
Entropy 2021, 23(1), 73; https://doi.org/10.3390/e23010073
Received: 10 November 2020 / Revised: 24 December 2020 / Accepted: 2 January 2021 / Published: 6 January 2021
(This article belongs to the Collection Quantum Information)
We studied the mutual information and quantum discord that Alice and Bob share when Bob implements a discrimination with a fixed rate of inconclusive outcomes (FRIO) onto two pure non-orthogonal quantum states, generated with arbitrary a priori probabilities. FRIO discrimination interpolates between minimum error (ME) and unambiguous state discrimination (UD). ME and UD are well known discrimination protocols with several applications in quantum information theory. FRIO discrimination provides a more general framework where the discrimination process together with its applications can be studied. In this setting, we compared the performance of optimum probability of discrimination, mutual information, and quantum discord. We found that the accessible information is obtained when Bob implements the ME strategy. The most (least) efficient discrimination scheme is ME (UD), from the point of view of correlations that are lost in the initial state and remain in the final state, after Bob’s measurement. View Full-Text
Keywords: quantum state discrimination; accessible information; quantum discord quantum state discrimination; accessible information; quantum discord
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MDPI and ACS Style

Jiménez, O.; Solís–Prosser, M.A.; Neves, L.; Delgado, A. Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes. Entropy 2021, 23, 73. https://doi.org/10.3390/e23010073

AMA Style

Jiménez O, Solís–Prosser MA, Neves L, Delgado A. Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes. Entropy. 2021; 23(1):73. https://doi.org/10.3390/e23010073

Chicago/Turabian Style

Jiménez, Omar, Miguel A. Solís–Prosser, Leonardo Neves, and Aldo Delgado. 2021. "Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes" Entropy 23, no. 1: 73. https://doi.org/10.3390/e23010073

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