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Classical capacity of a Bayesian inference quantum channel employing photon counting detectors

Published: 26 October 2011 Publication History

Abstract

Recently we investigated the potential improvements in key transmission rate in a Quantum Key Distribution (QKD) scheme whereby photon-counting detectors are used at the receiver. To take full advantage of such detectors, soft information is generated in the form of Log-Likelihood Ratios (LLRs) using a Bayesian estimator of phase of the signal pulse which is used to carry the information. We achieved significant reduction in the residual Bit Error Rate (BER) and Frame Error Rate (FER) using LDPC codes in the information reconciliation process. In this paper we explore the limits of the achievable performance gains when using photon counting detectors as compared to the case when such detectors are not available. To this end, we find the classical capacity of the Bayesian inference channel clearly showing the potential gains that photon counting detectors can provide in the context of a realistic cost-effective scheme from an implementation point of view. While there are binary communication schemes that can achieve a higher capacity for a given mean photon count at the receiver compared to the scheme presented here (e.g., the Dolinar receiver), most such schemes are complex and at times unrealistic from an implementation point of view.

References

[1]
Olivares S. et alii, "Toward a 'soft' output quantum channel via Bayesian estimation," Proc. ISABEL, Rome (Italy), Nov. 7--10, (2010).
[2]
Teklu, B., Olivares S. and Paris, M. G. A., "Bayesian estimation of one-parameter qubit gates," J. Phys. B: At. Mol. Opt. Phys. 42, (2009)
[3]
Brivio, D. et alii, "Experimental estimation of one-parameter qubit gates in the presence of phase diffusion," Phys. Rev. A 81, (2010).
[4]
Daneshgaran, F. et alii "Improved Key Rates for Quantum Key Distribution Employing Soft Metrics Using Bayesian Inference with Photon Counting Detectors," Proc. SPIE 8163, San Diego (CA), USA, August 21--25, (2011).

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    ISABEL '11: Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies
    October 2011
    949 pages
    ISBN:9781450309134
    DOI:10.1145/2093698
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

    Sponsors

    • Universitat Pompeu Fabra
    • IEEE
    • Technical University of Catalonia Spain: Technical University of Catalonia (UPC), Spain
    • River Publishers: River Publishers
    • CTTC: Technological Center for Telecommunications of Catalonia
    • CTIF: Kyranova Ltd, Center for TeleInFrastruktur

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 26 October 2011

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    Author Tags

    1. Bayesian estimator
    2. LDPC codes
    3. QKD
    4. information reconciliation
    5. quantum channel capacity
    6. soft-metric

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    ISABEL '11
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    • Technical University of Catalonia Spain
    • River Publishers
    • CTTC
    • CTIF

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