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.

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

References in corpus (2)

• Entangled states maximize the two qubit channel capacity for some Pauli channels with memory
• Quantum entanglement enhances the capacity of bosonic channels with memory

Cited by in corpus (4)

• Spin chains and channels with memory
• Many body physics and the capacity of quantum channels with memory
• Entanglement and optimal strings of qubits for memory channels
• New Phase Transitions in Optimal States for Memory Channels