Regularized maximum pure-state input-output fidelity of a quantum channel

Abstract

As a toy model for the capacity problem in quantum information theory we investigate finite and asymptotic regularizations of the maximum pure-state input-output fidelity $F(\mathcal{N}$) of a general quantum channel $\mathcal{N}$. We show that the asymptotic regularization $\tilde{F}(\mathcal{N}$) is lower bounded by the maximum output $\infty$-norm ${\nu }_{\infty }(\mathcal{N})$ of the channel. For $\mathcal{N}$ being a Pauli channel we find that both quantities are equal.

5 pages, 3 figures

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