Remark on the additivity conjecture for a quantum depolarizing channel

Remark on the additivity conjecture for a quantum depolarizing channel We consider bistochastic quantum channels generated by unitary representations of a discrete group. We give a proof of the additivity conjecture for a quantum depolarizing channel Φ based on the decreasing property of the relative entropy. We show that the additivity conjecture holds for a channel Ξ = Ψ o Φ, where Ψ is a phase damping channel. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Remark on the additivity conjecture for a quantum depolarizing channel

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Publisher
Nauka/Interperiodica
Copyright
Copyright © 2006 by Pleiades Publishing, Inc.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946006020013
Publisher site
See Article on Publisher Site

Abstract

We consider bistochastic quantum channels generated by unitary representations of a discrete group. We give a proof of the additivity conjecture for a quantum depolarizing channel Φ based on the decreasing property of the relative entropy. We show that the additivity conjecture holds for a channel Ξ = Ψ o Φ, where Ψ is a phase damping channel.

Journal

Problems of Information TransmissionSpringer Journals

Published: Jul 7, 2006

References

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