dorsal/arxiv
View Schema$k$-decomposability of positive maps
| Authors | Wladyslaw A. Majewski, Marcin Marciniak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411035 |
| URL | https://arxiv.org/abs/quant-ph/0411035 |
Abstract
The problem of classification of decomposable (in the sense of Stormer) positive maps between matrix algebras is presented. We propose the new notion of "finite" version of decomposability ($k$-decomposabilty). The characterisation of $k$-decomposability on the Hilbert space level is done. In the case of low dimensional algebras the notion of local decomposability and its applications for the description of decomposable maps are discussed.
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"abstract": "The problem of classification of decomposable (in the sense of Stormer)\npositive maps between matrix algebras is presented. We propose the new notion\nof \"finite\" version of decomposability ($k$-decomposabilty). The\ncharacterisation of $k$-decomposability on the Hilbert space level is done. In\nthe case of low dimensional algebras the notion of local decomposability and\nits applications for the description of decomposable maps are discussed.",
"arxiv_id": "quant-ph/0411035",
"authors": [
"Wladyslaw A. Majewski",
"Marcin Marciniak"
],
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"title": "$k$-decomposability of positive maps",
"url": "https://arxiv.org/abs/quant-ph/0411035"
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