Performance of polar codes for quantum and private classical communication

Zachary Dutton, Saikat Guha, Mark M. Wilde

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

We analyze the practical performance of quantum polar codes, by computing rigorous bounds on block error probability and by numerically simulating them. We evaluate our bounds for quantum erasure channels with coding block lengths between 210 and 220, and we report the results of simulations for quantum erasure channels, quantum depolarizing channels, and 'BB84' channels with coding block lengths up to N = 1024. For quantum erasure channels, we observe that high quantum data rates can be achieved for block error rates Pe ≤ 10-4 and that somewhat lower quantum data rates can be achieved for quantum depolarizing and BB84 channels. Our results here also serve as bounds for and simulations of private classical data transmission over these channels, essentially due to Renes' duality bounds for privacy amplification and classical data transmission of complementary observables. Future work might be able to improve upon our numerical results by employing a polar coding rule other than the heuristic used here.

Original languageEnglish (US)
Title of host publication2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012
Pages572-579
Number of pages8
DOIs
StatePublished - Dec 1 2012
Externally publishedYes
Event2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012 - Monticello, IL, United States
Duration: Oct 1 2012Oct 5 2012

Publication series

Name2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012

Other

Other2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012
CountryUnited States
CityMonticello, IL
Period10/1/1210/5/12

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Computer Science Applications

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  • Cite this

    Dutton, Z., Guha, S., & Wilde, M. M. (2012). Performance of polar codes for quantum and private classical communication. In 2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012 (pp. 572-579). [6483269] (2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012). https://doi.org/10.1109/Allerton.2012.6483269