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Probl. Peredachi Inf., 2016, Volume 52, Issue 3, Pages 17–44 (Mi ppi2210)  

This article is cited in 3 scientific papers (total in 3 papers)

Information Theory

Classical capacities of quantum channels with environment assistance

S. Karumanchia, S. Mancinibc, A. Winterd, D. Yangde

a Faculty of Informatics, Masaryk University, Brno, Czech Republic
b School of Science and Technology, University of Camerino, Camerino, Italy
c INFN – Sezione Perugia, Perugia, Italy
d ICREA and Física Teòrica: Informació i Fenòmens Quàntics, Universitat Autònoma de Barcelona, Barcelona, Spain
e Laboratory for Quantum Information, China Jiliang University, Hangzhou, Zhejiang, China

Abstract: A quantum channel physically is a unitary interaction between an information carrying system and an environment, which is initialized in a pure state before the interaction. Conventionally, this state, as also the parameters of the interaction, is assumed to be fixed and known to the sender and receiver. Here, following the model introduced by us earlier [1], we consider a benevolent third party, i.e., a helper, controlling the environment state, and show how the helper's presence changes the communication game. In particular, we define and study the classical capacity of a unitary interaction with helper, in two variants: one where the helper can only prepare separable states across many channel uses, and one without this restriction. Furthermore, two even more powerful scenarios of pre-shared entanglement between helper and receiver, and of classical communication between sender and helper (making them conferencing encoders) are considered.

Funding Agency Grant Number
European Commission RAQUEL
European Research Council IRQUAT
Ministerio de Economía y Competitividad de España FIS2013-40627-P
Federación Española de Enfermedades Raras
Generalitat de Catalunya 2014-SGR-966
National Natural Science Foundation of China 11375165
Supported by the European Commission, STREP “RAQUEL”, the European Research Council, advanced grant “IRQUAT”, the Spanish MINECO, project no. FIS2013-40627-P, with the support of FEDER funds, as well as by the Generalitat de Catalunya CIRIT, project no. 2014-SGR-966.
Supported by the European Research Council, advanced grant “IRQUAT”, and the NSFC, grant no. 11375165.

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English version:
Problems of Information Transmission, 2016, 52:3, 214–238

Bibliographic databases:

UDC: 621.391.1+519.7
Received: 23.09.2015
Revised: 03.02.2016

Citation: S. Karumanchi, S. Mancini, A. Winter, D. Yang, “Classical capacities of quantum channels with environment assistance”, Probl. Peredachi Inf., 52:3 (2016), 17–44; Problems Inform. Transmission, 52:3 (2016), 214–238

Citation in format AMSBIB
\by S.~Karumanchi, S.~Mancini, A.~Winter, D.~Yang
\paper Classical capacities of quantum channels with environment assistance
\jour Probl. Peredachi Inf.
\yr 2016
\vol 52
\issue 3
\pages 17--44
\jour Problems Inform. Transmission
\yr 2016
\vol 52
\issue 3
\pages 214--238

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    This publication is cited in the following articles:
    1. K. K. Sabapathy, A. Winter, “Non-Gaussian Operations on Bosonic Modes of Light: Photon-Added Gaussian Channels”, Phys. Rev. A, 95:6 (2017), 062309  crossref  isi  scopus
    2. H. Boche, Ch. Deppe, J. Noetzel, A. Winter, “Fully quantum arbitrarily varying channels: random coding capacity and capacity dichotomy”, 2018 IEEE International Symposium on Information Theory (ISIT), IEEE, 2018, 2012–2016  crossref  isi
    3. H. Boche, M. Cai, N. Cai, “Message transmission over classical quantum channels with a jammer with side information”, 2018 IEEE International Symposium on Information Theory (ISIT), IEEE, 2018, 2017–2021  crossref  isi
  • Проблемы передачи информации Problems of Information Transmission
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