Details
| Original language | English |
|---|---|
| Article number | 7370934 |
| Pages (from-to) | 915-924 |
| Number of pages | 10 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 62 |
| Issue number | 2 |
| Publication status | Published - 1 Feb 2016 |
Abstract
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.
Keywords
- Channel capacity, Classicalquantum networks, Polar codes, Quantum simultaneous decoder, Successive cancellation decoder
ASJC Scopus subject areas
- Computer Science(all)
- Information Systems
- Computer Science(all)
- Computer Science Applications
- Social Sciences(all)
- Library and Information Sciences
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In: IEEE Transactions on Information Theory, Vol. 62, No. 2, 7370934, 01.02.2016, p. 915-924.
Research output: Contribution to journal › Article › Research › peer review
}
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 -