dorsal/arxiv
View SchemaAn application of a matrix inequality in quantum information theory
| Authors | C. King |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412046 |
| URL | https://arxiv.org/abs/quant-ph/0412046 |
Abstract
Quantum information theory has generated several interesting conjectures involving products of completely positive maps on matrix algebras, also known as quantum channels. In particular it is conjectured that the output state with maximal p-norm from a product channel is always a product state. It is shown here that the Lieb-Thirring inequality can be used to prove this conjecture for one special case, namely when one of the components of the product channel is of the type known as a diagonal channel, which acts on a state by taking the Hadamard product with a positive matrix.
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"abstract": "Quantum information theory has generated several interesting conjectures\ninvolving products of completely positive maps on matrix algebras, also known\nas quantum channels. In particular it is conjectured that the output state with\nmaximal p-norm from a product channel is always a product state. It is shown\nhere that the Lieb-Thirring inequality can be used to prove this conjecture for\none special case, namely when one of the components of the product channel is\nof the type known as a diagonal channel, which acts on a state by taking the\nHadamard product with a positive matrix.",
"arxiv_id": "quant-ph/0412046",
"authors": [
"C. King"
],
"categories": [
"quant-ph"
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"title": "An application of a matrix inequality in quantum information theory",
"url": "https://arxiv.org/abs/quant-ph/0412046"
},
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