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Evaluating capacities of Bosonic Gaussian channels

A. S. Holevo·R. F. Werner
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Abstract

We show how to compute or at least to estimate various capacity-related quantities for Bosonic Gaussian channels. Among these are the coherent information, the entanglement assisted classical capacity, the one-shot classical capacity, and a new quantity involving the transpose operation, shown to be a general upper bound on the quantum capacity, even allowing for finite errors. All bounds are explicitly evaluated for the case of a one-mode channel with attenuation/amplification and classical noise.

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A. S. Holevo, R. F. Werner. 1999-12-14. Evaluating capacities of Bosonic Gaussian channels. https://arxiv.org/abs/quant-ph/9912067

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