0408004v2

related topics
{information, entropy, channel}
{let, theorem, proof}
{group, space, representation}
{qubit, qubits, gate}

Remark on the additivity conjecture for the quantum depolarizing channel

G. G. Amosov

abstract: We consider bistochastic quantum channels generated by unitary representations of the discret group. The proof of the additivity conjecture for the quantum depolarizing channel $\Phi$ based on the decreasing property of the relative entropy is given. We show that the additivity conjecture is true for the channel $\Xi =\Psi \circ \Phi $, where $\Psi $ is the phase damping.

oai_identifier:
oai:arXiv.org:quant-ph/0408004
categories:
quant-ph
comments:
11 pages
arxiv_id:
quant-ph/0408004
journal_ref:
Probl. Inf. Transm. 42 (2006) no.2, 69-76
created:
2004-08-01
updated:
2005-09-11

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