Many-body physics and the capacity of quantum channels with memory

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Plenio, M B and Virmani, S. (2008) Many-body physics and the capacity of quantum channels with memory. New Journal of Physics, 10. 043032. ISSN 1367-2630 (https://doi.org/10.1088/1367-2630/10/4/043032)

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Abstract

In most studies of the capacity of quantum channels, it is assumed that the errors in the use of each channel are independent. However, recent work has begun to investigate the effects of memory or correlations in the error, and has led to suggestions that there can be interesting on-analytic behaviour in the capacity of such channels. In a previous paper, we pursued this issue by connecting the study of channel capacities under correlated error to the study of critical behaviour in many-body physics. This connection enables the use of techniques from many-body physics to either completely solve or understand qualitatively a number of interesting models of correlated error with analogous behaviour to associated many-body systems. However, in order for this approach to work rigorously, there are a number of technical properties that need to be established for the lattice systems being considered. In this paper, we discuss these properties in detail, and establish them for some classes of many-body system.

  • Item type:Article
    ID code:16840
    Dates:
    Date
    Event
    April 2008
    Published
    Subjects:Science > Physics > Optics. Light
    Department:Faculty of Science > Physics
    Depositing user: Mr Timothy Briggs
    Date deposited:18 Mar 2010 10:48
    Last modified:11 Nov 2024 09:20
    URI:https://strathprints.strath.ac.uk/id/eprint/16840
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