Polar codes in network quantum information theory

Christoph Hirche, Ciara Morgan, Mark M. Wilde

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

© 2015 IEEE. 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.
Original languageEnglish
Article number7370934
Pages (from-to)915-924
JournalIEEE Transactions on Information Theory
Volume62
Issue number2
DOIs
Publication statusPublished - 1 Feb 2016

Keywords

  • Channel capacity
  • Classicalquantum networks
  • Polar codes
  • Quantum simultaneous decoder
  • Successive cancellation decoder

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