Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes
Date
2021-01Author
Solis-Prosser, Miguel Ángel
Neves, Leonardo
Delgado, Aldo
Jimenez, Omar [Univ Mayor, Fac Ciencias, Ctr Opt & Informac Cuant, Chile]
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Abstract
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.
URI
https://repositorio.umayor.cl/xmlui/handle/sibum/9112https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7825295/pdf/entropy-23-00073.pdf
https://doi.org/10.3390%2Fe23010073
https://www.mdpi.com/1099-4300/23/1/73/pdf?version=1609926135
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