The entropy gain of infinite-dimensional quantum channels

Details The entropy gain of infinite-dimensional quantum channels The entropy gain of infinite-dimensional quantum channels

2010-03-30

arxiv.org/abs/1003.5765v1

Doklady Mathematics, 82:2 (2010), 730-731

Physics

Mathematical Physics

10 pages

Scientific paper

10.1134/S1064562410050133

In the present paper we study the entropy gain $H(\Phi [\rho])-H(\rho)$ for infinite-dimensional channels $\Phi$. We show that unlike finite-dimensional case where the minimal entropy gain is always nonpositive \cite{al}, there is a plenty of channels with positive minimal entropy gain. We obtain the new lower bound and compute the minimal entropy gain for a broad class of Bosonic Gaussian channels by proving that the infimum is attained on the Gaussian states.

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