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Probl. Peredachi Inf., 2002, Volume 38, Issue 1, Pages 31–41 (Mi ppi1297)  

This article is cited in 7 scientific papers (total in 7 papers)

Information Theory

Compatible Information as a Natural Information Measure of a Quantum Channel

B. A. Grishanin


Abstract: As a natural quantitative characteristic of mutual information contained in two compatible sets of quantum states considered as input and output, we introduce the Shannon amount of information corresponding to two independent general measurements of all possible quantum states of the input and output. We analyze the physical content of this information measure and its relation to other measures such as the Holevo information and coherent information. In an example of two two-level systems, the most important features of compatible information in the absence and presence of selection for measured states are revealed and discussed.

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English version:
Problems of Information Transmission, 2002, 38:1, 26–35

Bibliographic databases:

UDC: 621.391.1
Received: 04.04.2001

Citation: B. A. Grishanin, “Compatible Information as a Natural Information Measure of a Quantum Channel”, Probl. Peredachi Inf., 38:1 (2002), 31–41; Problems Inform. Transmission, 38:1 (2002), 26–35

Citation in format AMSBIB
\Bibitem{Gri02}
\by B.~A.~Grishanin
\paper Compatible Information as a~Natural Information Measure of a~Quantum Channel
\jour Probl. Peredachi Inf.
\yr 2002
\vol 38
\issue 1
\pages 31--41
\mathnet{http://mi.mathnet.ru/ppi1297}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2101309}
\zmath{https://zbmath.org/?q=an:1028.94016}
\transl
\jour Problems Inform. Transmission
\yr 2002
\vol 38
\issue 1
\pages 26--35
\crossref{https://doi.org/10.1023/A:1020038121894}


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  • http://mi.mathnet.ru/eng/ppi/v38/i1/p31

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Grishanin B.A., Zadkov V.N., “Measurement and physical content of quantum information”, Journal of Communications Technology and Electronics, 47:9 (2002), 933–948  isi
    2. Sych D.V., Grishanin B.A., Zadkov V.N., “Critical error rate of quantum-key-distribution protocols versus the size and dimensionality of the quantum alphabet”, Phys. Rev. A, 70:5 (2004), 052331, 8 pp.  crossref  adsnasa  isi
    3. Sych D., Grishanin B., Zadkov V., “Quantum key distribution with a continuous alphabet”, Laser Phys., 14:10 (2004), 1314–1321  isi
    4. Sych D.V., Grishanin B.A., Zadkov V.N., “Comparative characteristics of quantum key distribution protocols with alphabets corresponding to the regular polyhedrons on the Bloch sphere”, Quantum Informatics 2004, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 5833, 2004, 229–238  isi
    5. Sych D.V., Grishanin B.A., Zadkov V.N., “Optimal alphabets for noise-resistant quantum cryptography”, Quantum Informatics 2004, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 5833, 2004, 272–281  isi
    6. Sych D.V., Grishanin B.A., Zadkov V.N., “Unselected quantum information as an effective tool for quantum cryptography”, Quantum Communications and Quantum Imaging, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 5161, 2004, 341–351  isi
    7. Grishanin B.A., Sych D.V., Zadkov V.N., “Noise-resistant quantum key distribution protocol”, Micro- and Nanoelectronics 2003, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 5401, 2004, 714–724  isi
  • Проблемы передачи информации Problems of Information Transmission
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