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Bosonic Minimum Output Entropy and Gaussian Discord

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JournalarXiv
DatePublished - 9 Sep 2013
Pages (from-to)1-10
Original languageEnglish

Abstract

We connect two fundamental conjectures in quantum information theory. One is the bosonic minimum output entropy conjecture, claiming that the output entropy of a Gaussian channel is minimized by a pure Gaussian state at the input. The other conjecture is the optimality of Gaussian discord, according to which the computation of quantum discord for Gaussian states can be restricted to Gaussian measurements. Here we prove that the first conjecture implies the second one for a large family of Gaussian states, with an equivalence holding when the Choi-Jamiolkowski isomorphism can be established. Furthermore, by exploiting the validity of the entropy conjecture for some canonical channels, we compute the unrestricted quantum discord for broad classes of Gaussian states.

Bibliographical note

ReVTEX. 4 pages + 4 pages (Supplemental Material). Comments are welcome

    Research areas

  • quant-ph, cond-mat.stat-mech, math-ph, math.MP, physics.optics

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