dorsal/arxiv
View SchemaSchmidt states and positivity of linear maps
| Authors | Aik-meng Kuah, E. C. G. Sudarshan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506095 |
| URL | https://arxiv.org/abs/quant-ph/0506095 |
Abstract
Using pure entangled Schmidt states, we show that m-positivity of a map is bounded by the ranks of its negative Kraus matrices. We also give an algebraic condition for a map to be m-positive. We interpret these results in the context of positive maps as entanglement witnesses, and find that only 1-positive maps are needed for testing entanglement.
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"abstract": "Using pure entangled Schmidt states, we show that m-positivity of a map is\nbounded by the ranks of its negative Kraus matrices. We also give an algebraic\ncondition for a map to be m-positive. We interpret these results in the context\nof positive maps as entanglement witnesses, and find that only 1-positive maps\nare needed for testing entanglement.",
"arxiv_id": "quant-ph/0506095",
"authors": [
"Aik-meng Kuah",
"E. C. G. Sudarshan"
],
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"quant-ph"
],
"title": "Schmidt states and positivity of linear maps",
"url": "https://arxiv.org/abs/quant-ph/0506095"
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