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Additivity for transpose depolarizing channels

Quantum Physics 2007-05-23 v1

Abstract

Additivity of the minimal output entropy for the family of transpose depolarizing channels introduced by Fannes et al. [quant-ph/0410195] is considered. It is shown that using the method of our previous paper [quant-ph/0403072] allows us to prove the additivity for the range of the parameter values for which the problem was left open in [quant-ph/0410195]. Together with the result of [quant-ph/0410195], this covers the whole family of transpose depolarizing channels.

Cite

@article{arxiv.quant-ph/0412034,
  title  = {Additivity for transpose depolarizing channels},
  author = {Nilanjana Datta and Alexander S. Holevo and Yuri Suhov},
  journal= {arXiv preprint arXiv:quant-ph/0412034},
  year   = {2007}
}

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9 pages