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Transition behavior in the capacity of correlated-noisy channels in arbitrary dimensions

V. Karimipour·L. Memarzadeh
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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.

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V. Karimipour, L. Memarzadeh. 2006-07-20. Transition behavior in the capacity of correlated-noisy channels in arbitrary dimensions. https://doi.org/10.1103/physreva.74.032332

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