On S-mixing entropy of quantum channels View Full Text


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Article Info

DATE

2018-05-10

AUTHORS

Farrukh Mukhamedov, Noboru Watanabe

ABSTRACT

In this paper, an S-mixing entropy of quantum channels is introduced as a generalization of Ohya’s S-mixing entropy. We investigate several properties of the introduced entropy. Moreover, certain relations between the S-mixing entropy and the existing map and output entropies of quantum channels are investigated as well. These relations allowed us to find certain connections between separable states and the introduced entropy. Hence, there is a sufficient condition to detect entangled states. Moreover, several properties of the introduced entropy are investigated. Besides, entropies of qubit and phase-damping channels are calculated. More... »

PAGES

148

References to SciGraph publications

  • 1979. Operator Algebras and Quantum Statistical Mechanics, C*- and W*-Algebras Symmetry Groups Decomposition of States in NONE
  • 1992-04. Entropies of general quantum states in OPEN SYSTEMS & INFORMATION DYNAMICS
  • 1970-06. Entropy inequalities in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2015-03. Estimating the output entropy of a tensor product of two quantum channels in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2013-07. On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel in PROBLEMS OF INFORMATION TRANSMISSION
  • 1996-03. Entropy functionals of Kolmogorov-Sinai type and their limit theorems in LETTERS IN MATHEMATICAL PHYSICS
  • 1969-12. Subalgebras ofC*-algebras in ACTA MATHEMATICA
  • 2004-03. On Duality between Quantum Maps and Quantum States in OPEN SYSTEMS & INFORMATION DYNAMICS
  • 2014-07. Quantum transmission processes and their entropies in RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS
  • 1983-11. Note on quantum probability in LETTERE AL NUOVO CIMENTO (1971-1985)
  • 2013. Positive Linear Maps of Operator Algebras in NONE
  • 1993. Quantum Entropy and Its Use in NONE
  • 1997. Information Dynamics and Open Systems, Classical and Quantum Approach in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11128-018-1916-8

    DOI

    http://dx.doi.org/10.1007/s11128-018-1916-8

    DIMENSIONS

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