Optimal signal ensembles

Benjamin Schumacher and Michael D. Westmoreland
Phys. Rev. A 63, 022308 – Published 18 January 2001
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Abstract

Classical messages can be sent via a noisy quantum channel in various ways, corresponding to various choices of ensembles of signal states of the channel. Previous work by Holevo and by Schumacher and Westmoreland relates the capacity of the channel to the properties of the signal ensemble. Here we describe some properties characterizing the ensemble that maximizes the capacity, using the relative entropy “distance” between density operators to give the results a geometric flavor.

  • Received 12 January 2000

DOI:https://doi.org/10.1103/PhysRevA.63.022308

©2001 American Physical Society

Authors & Affiliations

Benjamin Schumacher1 and Michael D. Westmoreland2

  • 1Department of Physics, Kenyon College, Gambier, Ohio 43022
  • 2Department of Mathematical Sciences, Denison University, Granville, Ohio 43023

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Vol. 63, Iss. 2 — February 2001

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