Gaussian classical-quantum channels: gain of entanglement-assistance

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.

19 pages, 2 figures

References in corpus (5)

• Information capacity of quantum observable
• The optimal unitary dilation for bosonic Gaussian channels
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Cited by in corpus (1)

• On singular Bosonic linear channels