One-to-one parametrization of quantum channels

Akio Fujiwara and Paul Algoet
Phys. Rev. A 59, 3290 – Published 1 May 1999
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Abstract

In contrast to the many-to-one and quadratic nature of correspondence in the conventional representation of quantum channels, such as the operator-sum or the unitary representation, we present a one-to-one and linear (affine) parametrization of quantum channels. This parametrization enables us to visualize the convex structure of the space of quantum channels. To demonstrate its usefulness, we apply it to the analysis of quantum binary channels.

  • Received 6 October 1998

DOI:https://doi.org/10.1103/PhysRevA.59.3290

©1999 American Physical Society

Authors & Affiliations

Akio Fujiwara* and Paul Algoet

  • Information Systems Laboratory, Stanford University, Stanford, California 94305

  • *Permanent address: Department of Mathematics, Osaka University, Toyonaka, Osaka 560-0043, Japan.

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Vol. 59, Iss. 5 — May 1999

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