On Weyl-covariant channels

2005/10/19 by M. Fukuda, Motohisa Fukuda, A. S. Holevo +2 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0510148

14 pages, 1 figure, some errors were corrected

openalex publication_date 2005/10/19 · arxiv created 2006/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Formalism of discrete noncommutative Fourier transform is developed and applied to the study of Weyl-covariant channels. We then extend a result in quant-ph/0509126 concerning a bound of the maximal output 2-norm of a Weyl-covariant channel. A class of channels which attain the bound is introduced, for which the multiplicativity of the maximal output 2-norm is proven. Complementary channels are described which share the multiplicativity properties with the Weyl-covariant channels.

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• On strong superadditivity for a class of quantum channels
• The Entanglement Level and the Detection of Quantum Data Transfer Correctness in Short Qutrit Spin Chains
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