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Transition behavior in the capacity of correlated noisy channels in arbitrary dimensions
, Article Physical Review A - Atomic, Molecular, and Optical Physics ; Volume 74, Issue 3 , 2006 ; 10502947 (ISSN) ; Memarzadeh, L ; Sharif University of Technology
2006
Abstract
We construct a class of quantum channels in arbitrary dimensions for which entanglement improves the performance of the channel. The channels have correlated noise and when the level of correlation passes a critical value we see a sharp transition in the optimal input states (states which minimize the output entropy) from separable to maximally entangled states. We show that for a subclass of channels with some extra conditions, including the examples which we consider, the states which minimize the output entropy are the ones which maximize the mutual information. © 2006 The American Physical Society