corner
corner

Phys. Rev. A 69, 022302 (2004) [8 pages]

Holevo-Schumacher-Westmoreland channel capacity for a class of qudit unital channels

Download: PDF (122 kB) Buy this article Export: BibTeX or EndNote (RIS)

John Cortese
Institute for Quantum Information, Physics Department, California Institute of Technology 103-33, Pasadena, California 91125, USA

Received 30 April 2003; revised 18 July 2003; published 4 February 2004

Using the unique nature of the average output state of an optimal signalling ensemble, we prove that for a special class of qudit unital channels, the Holevo-Schumacher-Westmoreland channel capacity is C=log2(d)-minρS(E(ρ)), where d is the dimension of the qudit. The result is extended to products of the same class of unital qudit channels. Thus, the connection between the minimum von Neumann entropy at the channel output and the transmission rate for classical information over quantum channels extends beyond the qubit domain.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.022302
DOI:
10.1103/PhysRevA.69.022302
PACS:
03.67.Hk