Spin chains and channels with memory

Details Spin chains and channels with memory Spin chains and channels with memory

2007-02-06

arxiv.org/abs/quant-ph/0702059v3

Phys. Rev. Lett. 99, 120504 (2007)

Physics

Quantum Physics

V2: changes in presentation, some additional comments on generalisation. V3: In accordance with published version, most (but n

Scientific paper

10.1103/PhysRevLett.99.120504

In most studies of the channel 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. This work has led to speculation that interesting non-analytic behaviour may occur in the capacity. Motivated by these observations, we connect the study of channel capacities under correlated error to the study of critical behaviour in many-body physics. This connection enables us the techniques of many-body physics to either completely solve or understand qualitatively a number of interesting models of correlated error. The models can display analogous behaviour to associated many-body systems, including `phase transitions'.

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