Gaussian classical-quantum channels: gain of entanglement-assistance

A. S. Holevo

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arXiv · 1211.4774

Gaussian classical-quantum channels: gain of entanglement-assistance

A. S. Holevo

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Abstract

In the present paper we introduce and study Bosonic Gaussian classical-quantum (c-q) channels; the embedding of the classical input into quantum is always possible and therefore the classical entanglement-assisted capacity C_{ea} under appropriate input constraint is well defined. We prove a general property of entropy increase for weak complementary channel, that implies the equality C_{ea}=C (where C is the unassisted capacity) for certain class of c-q Gaussian channel under appropriate energy-type constraint. On the other hand, we show by explicit example that the inequality C<C_{ea} is not unusual for constrained c-q Gaussian channel.

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A. S. Holevo. 2012-11-20. Gaussian classical-quantum channels: gain of entanglement-assistance. https://arxiv.org/abs/1211.4774

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