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Title: Many-body physics and the capacity of quantum channels with memory
Authors: Plenio, MB
Virmani, S
Keywords: Quantum channels;Channel capacities;Many-body physics;Memory
Issue Date: 2008
Publisher: IOP Publishing Ltd
Citation: New Journal of Physics, 10: Article no. 043032, 2008
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 non-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.
Description: Copyright © 2008 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
ISSN: 1367-2630
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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