dorsal/arxiv
View SchemaA relation between completely bounded norms and conjugate channels
| Authors | Anna Jencova |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601071 |
| URL | https://arxiv.org/abs/quant-ph/0601071 |
Abstract
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.
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"abstract": "We show a relation between a quantum channel $\\Phi$ and its conjugate\n$\\Phi^C$, which implies that the $p\\to p$ Schatten norm of the channel is the\nsame as the $1\\to p$ completely bounded norm of the conjugate. This relation is\nused to give an alternative proof of the multiplicativity of both norms.",
"arxiv_id": "quant-ph/0601071",
"authors": [
"Anna Jencova"
],
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"quant-ph",
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"title": "A relation between completely bounded norms and conjugate channels",
"url": "https://arxiv.org/abs/quant-ph/0601071"
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