Partially Coherent Direct Sum Channels

Stefano Chessa and Vittorio Giovannetti

NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy

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Abstract

We introduce $\textit{Partially Coherent Direct Sum}$ (PCDS) quantum channels, as a generalization of the already known $\textit{Direct Sum}$ quantum channels. We derive necessary and sufficient conditions to identify the subset of those maps which are degradable, and provide a simplified expression for their quantum capacities. Interestingly, the special structure of PCDS allows us to extend the computation of the quantum capacity formula also for quantum channels which are explicitly not degradable (nor antidegradable). We show instances of applications of the results to dephasing channels, amplitude damping channels and combinations of the two.

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Cited by

[1] Stefano Chessa and Vittorio Giovannetti, "Quantum capacity analysis of multi-level amplitude damping channels", Communications Physics 4 1, 22 (2021).

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