A relation between completely bounded norms and conjugate channels

Anna Jencova

A relation between completely bounded norms and conjugate channels

量子物理 2007-05-23 v1 算子代数

作者: Anna Jencova

摘要

We show a relation between a quantum channel $\Phi$ and its conjugate $\Phi^C$ , which implies that the $p\to p$ Schatten norm of the channel is the same as the $1\to p$ completely bounded norm of the conjugate. This relation is used to give an alternative proof of the multiplicativity of both norms.

引用

@article{arxiv.quant-ph/0601071,
  title  = {A relation between completely bounded norms and conjugate channels},
  author = {Anna Jencova},
  journal= {arXiv preprint arXiv:quant-ph/0601071},
  year   = {2007}
}

备注

5 pages, we make a connection between quant-ph/0506196 and the papers quant-ph/0509101 and quant-ph/0509126

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