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

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.

arXiv comment11 pages, Latex, 4 figures, Accepted for publication in Physical Review A

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• Entanglement and optimal strings of qubits for memory channels
• Gaussian capacity of the quantum bosonic channel with additive correlated Gaussian noise
• New Phase Transitions in Optimal States for Memory Channels