On Weyl-covariant channels
Quantum Physics
2007-05-23 v3
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.
Keywords
Cite
@article{arxiv.quant-ph/0510148,
title = {On Weyl-covariant channels},
author = {M. Fukuda and A. S. Holevo},
journal= {arXiv preprint arXiv:quant-ph/0510148},
year = {2007}
}
Comments
14 pages, 1 figure, some errors were corrected