Physics – Quantum Physics
Scientific paper
2007-10-17
New J. Phys. 10 (2008) 043032
Physics
Quantum Physics
V1: 17 sides, 5 figures. See posting by M. Hastings 0710.3324 for related results on fermionic systems. V2: 19 sides, 5 figure
Scientific paper
10.1088/1367-2630/10/4/043032
In most studies of the capacity of quantum channels, it is assumed that the errors in each use of the 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 article we discuss these properties in detail, and establish them for some classes of many-body system.
Plenio Martin . B.
Virmani Shashank
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