TY - JOUR

T1 - Polar codes in network quantum information theory

AU - Hirche, Christoph

AU - Morgan, Ciara

AU - Wilde, Mark M.

N1 - Funding Information: C. Hirche was supported in part by the Generalitat de Catalunya, Comissio Interdepartamental de Recerca i Innovacio Tecnologica under Grant 2014 SGR 966 and in part by the Spanish Ministry of Economy and Competitiveness under Project FIS2013-40627-P. C. Hirche and C. Morgan were supported in part by the Cluster of Excellence through the Project entitled EXC 201 Quantum Engineering and SpaceTime Research and in part by the European Commission through the QFTCMPS Project and SIQS Project. M. M. Wilde was supported in part by the National Science Foundation under Grant CCF-1350397 in part by the Defense Advanced Research Projects Agency Quiness Program through the U.S. Army Research Office under Grant W31P4Q-12-1-0019 and in part by the Department of Physics and Astronomy, Louisiana State University.

PY - 2016/2/1

Y1 - 2016/2/1

N2 - Polar coding is a method for communication over noisy classical channels, which is provably capacity achieving and has an efficient encoding and decoding. Recently, this method has been generalized to the realm of quantum information processing, for tasks such as classical communication, private classical communication, and quantum communication. In this paper, we apply the polar coding method to network classicalquantum information theory, by making use of recent advances for related classical tasks. In particular, we consider problems such as the compound multiple access channel and the quantum interference channel. The main result of our work is that it is possible to achieve the best known inner bounds on the achievable rate regions for these tasks, without requiring a so-called quantum simultaneous decoder. Thus, this paper paves the way for developing network classical-quantum information theory further without requiring a quantum simultaneous decoder.

AB - Polar coding is a method for communication over noisy classical channels, which is provably capacity achieving and has an efficient encoding and decoding. Recently, this method has been generalized to the realm of quantum information processing, for tasks such as classical communication, private classical communication, and quantum communication. In this paper, we apply the polar coding method to network classicalquantum information theory, by making use of recent advances for related classical tasks. In particular, we consider problems such as the compound multiple access channel and the quantum interference channel. The main result of our work is that it is possible to achieve the best known inner bounds on the achievable rate regions for these tasks, without requiring a so-called quantum simultaneous decoder. Thus, this paper paves the way for developing network classical-quantum information theory further without requiring a quantum simultaneous decoder.

KW - Channel capacity

KW - Classicalquantum networks

KW - Polar codes

KW - Quantum simultaneous decoder

KW - Successive cancellation decoder

UR - http://www.scopus.com/inward/record.url?scp=84959440505&partnerID=8YFLogxK

U2 - 10.1109/TIT.2016.2514319

DO - 10.1109/TIT.2016.2514319

M3 - Article

AN - SCOPUS:84959440505

VL - 62

SP - 915

EP - 924

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 2

M1 - 7370934

ER -