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Probl. Peredachi Inf., 2016, Volume 52, Issue 3, Pages 3–16 (Mi ppi2209)  

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

Information Theory

Degradable channels, less noisy channels, and quantum statistical morphisms: an equivalence relation

F. Buscemi

Department of Computer Science and Mathematical Informatics, Nagoya University, Nagoya, Japan

Abstract: Two partial orderings among communication channels, namely “being degradable into” and “being less noisy than,” are reconsidered in the light of recent results about statistical comparisons of quantum channels. Though our analysis covers at once both classical and quantum channels, we also provide a separate treatment of classical noisy channels and show how in this case an alternative self-contained proof can be constructed, with its own particular merits with respect to the general result.

Funding Agency Grant Number
JSPS KAKENH 26247016
Supported in part by the JSPS KAKENHI, grant no. 26247016.


Full text: PDF file (246 kB)
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English version:
Problems of Information Transmission, 2016, 52:3, 201–213

Bibliographic databases:

UDC: 621.391.1+519.7
Received: 09.02.2016

Citation: F. Buscemi, “Degradable channels, less noisy channels, and quantum statistical morphisms: an equivalence relation”, Probl. Peredachi Inf., 52:3 (2016), 3–16; Problems Inform. Transmission, 52:3 (2016), 201–213

Citation in format AMSBIB
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\by F.~Buscemi
\paper Degradable channels, less noisy channels, and quantum statistical morphisms: an equivalence relation
\jour Probl. Peredachi Inf.
\yr 2016
\vol 52
\issue 3
\pages 3--16
\mathnet{http://mi.mathnet.ru/ppi2209}
\transl
\jour Problems Inform. Transmission
\yr 2016
\vol 52
\issue 3
\pages 201--213
\crossref{https://doi.org/10.1134/S0032946016030017}
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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. R. Nasser, “On the Input-Degradedness and Input-Equivalence Between Channels”, 2017 IEEE International Symposium on Information Theory, ISIT 2017, IEEE, 2453–2457  isi
    2. R. Nasser, “Topological Structures on DMC Spaces”, 2017 IEEE International Symposium on Information Theory, ISIT 2017, IEEE  isi
    3. F. Buscemi, “Comparison of Noisy Channels and Reverse Data-Processing Theorems”, 2017 IEEE Information Theory Workshop, ITW 2017, IEEE, 489–493  isi
    4. G. Gour, “Quantum Resource Theories in the Single-Shot Regime”, Phys. Rev. A, 95:6 (2017), 062314  crossref  mathscinet  isi  scopus
    5. F. Buscemi, G. Gour, “Quantum Relative Lorenz Curves”, Phys. Rev. A, 95:1 (2017), 012110  crossref  mathscinet  isi  scopus
    6. G. Gour, D. Jennings, F. Buscemi, R. Duan, I. Marvian, “Quantum majorization and a complete set of entropic conditions for quantum thermodynamics”, Nat. Commun., 9 (2018), 5352  crossref  isi  scopus
    7. R. Nasser, “Characterizations of two channel orderings: input-degradedness and the Shannon ordering”, IEEE Trans. Inf. Theory, 64:10 (2018), 6759–6770  crossref  mathscinet  zmath  isi  scopus
    8. D. Rosset, F. Buscemi, Y.-Ch. Liang, “Resource theory of quantum memories and their faithful verification with minimal assumptions”, Phys. Rev. X, 8:2 (2018), 021033  crossref  isi  scopus
    9. R. Nasser, “Topological structures on DMC spaces”, Entropy, 20:5 (2018), 343  crossref  mathscinet  isi  scopus
    10. R. Takagi, B. Regula, “General resource theories in quantum mechanics and beyond: operational characterization via discrimination tasks”, Phys. Rev. X, 9:3 (2019), 031053  crossref  isi  scopus
    11. G. Gour, “Comparison of quantum channels by superchannels”, IEEE Trans. Inf. Theory, 65:9 (2019), 5880–5904  crossref  mathscinet  zmath  isi
    12. P. Skrzypczyk, N. Linden, “Robustness of measurement, discrimination games, and accessible information”, Phys. Rev. Lett., 122:14 (2019), 140403  crossref  isi  scopus
    13. P. Skrzypczyk, I. Supic, D. Cavalcanti, “All sets of incompatible measurements give an advantage in quantum state discrimination”, Phys. Rev. Lett., 122:13 (2019), 130403  crossref  isi  scopus
    14. R. Nasser, “On the Convergence of the Polarization Process in the Noisiness/weak- Topology”, 2019 IEEE International Symposium on Information Theory (Isit), IEEE International Symposium on Information Theory, IEEE, 2019, 2099–2103  isi
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