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Teor. Veroyatnost. i Primenen., 2010, Volume 55, Issue 4, Pages 782–790 (Mi tvp4282)  

This article is cited in 14 scientific papers (total in 14 papers)

Short Communications

Conditional entropy for infinite-dimensional quantum systems

A. A. Kuznetsova

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

DOI: https://doi.org/10.4213/tvp4282

Full text: PDF file (182 kB)
References: PDF file   HTML file

English version:
Theory of Probability and its Applications, 2011, 55:4, 709–717

Bibliographic databases:

Received: 20.05.2010

Citation: A. A. Kuznetsova, “Conditional entropy for infinite-dimensional quantum systems”, Teor. Veroyatnost. i Primenen., 55:4 (2010), 782–790; Theory Probab. Appl., 55:4 (2011), 709–717

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Furrer F., Åberg J., Renner R., “Min- and max-entropy in infinite dimensions”, Comm. Math. Phys., 306:1 (2011), 165–186  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    2. A. S. Holevo, M. E. Shirokov, “On classical capacities of infinite-dimensional quantum channels”, Problems Inform. Transmission, 49:1 (2013), 15–31  mathnet  crossref  isi
    3. A. A. Kuznetsova, A. S. Holevo, “Coding theorems for hybrid channels”, Theory Probab. Appl., 58:2 (2014), 264–285  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    4. Furrer F., Berta M., Tomamichel M., Scholz V.B., Christandl M., “Position-Momentum Uncertainty Relations in the Presence of Quantum Memory”, J. Math. Phys., 55:12 (2014), 122205  crossref  mathscinet  zmath  adsnasa  isi  scopus
    5. M. E. Shirokov, “Measures of correlations in infinite-dimensional quantum systems”, Sb. Math., 207:5 (2016), 724–768  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. M. E. Shirokov, “Estimates for discontinuity jumps of information characteristics of quantum systems and channels”, Problems of Information Transmission, 52:3 (2016), 239–264  mathnet  crossref  mathscinet  isi  elib
    7. Shirokov M.E., “Squashed entanglement in infinite dimensions”, J. Math. Phys., 57:3 (2016), 032203  crossref  mathscinet  zmath  isi  elib  scopus
    8. Coles P.J., Berta M., Tomamichel M., Wehner S., “Entropic uncertainty relations and their applications”, Rev. Mod. Phys., 89:1 (2017), 015002  crossref  mathscinet  isi  scopus
    9. Shirokov M.E., “Tight Uniform Continuity Bounds For the Quantum Conditional Mutual Information, For the Holevo Quantity, and For Capacities of Quantum Channels”, J. Math. Phys., 58:10 (2017), 102202  crossref  mathscinet  zmath  isi  scopus
    10. Shirokov M.E., “Adaptation of the Alicki-Fannes-Winter Method For the Set of States With Bounded Energy and Its Use”, Rep. Math. Phys., 81:1 (2018), 81–104  crossref  mathscinet  isi  scopus
    11. Sharma K. Wilde M.M. Adhikari S. Takeoka M., “Bounding the Energy-Constrained Quantum and Private Capacities of Phase-Insensitive Bosonic Gaussian Channels”, New J. Phys., 20 (2018), 063025  crossref  isi  scopus
    12. Davis N. Shirokov M.E. Wilde M.M., “Energy-Constrained Two-Way Assisted Private and Quantum Capacities of Quantum Channels”, Phys. Rev. A, 97:6 (2018), 062310  crossref  isi  scopus
    13. Shirokov M.E., “Uniform Finite-Dimensional Approximation of Basic Capacities of Energy-Constrained Channels”, Quantum Inf. Process., 17:12 (2018), UNSP 322  crossref  mathscinet  isi  scopus
    14. Wilde M.M. Qi H., “Energy-Constrained Private and Quantum Capacities of Quantum Channels”, IEEE Trans. Inf. Theory, 64:12 (2018), 7802–7827  crossref  mathscinet  zmath  isi  scopus
  • Теория вероятностей и ее применения Theory of Probability and its Applications
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