dorsal/arxiv
View SchemaRandom low rank mixed states are highly entangled
| Authors | Hao Chen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111004 |
| URL | https://arxiv.org/abs/quant-ph/0111004 |
Abstract
We prove that for many ranks r<2m-2, random rank r mixed states in bipartite mxm systems have relatively high Schmidt numbers, which is based on algebraic-geometric separability criterion proved in [1]. This also means that the algebraic-geometric separability criterion can be used to detect all low rank entangled mixed states outside a measure zero set.
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"abstract": "We prove that for many ranks r\u003c2m-2, random rank r mixed states in bipartite\nmxm systems have relatively high Schmidt numbers, which is based on\nalgebraic-geometric separability criterion proved in [1]. This also means that\nthe algebraic-geometric separability criterion can be used to detect all low\nrank entangled mixed states outside a measure zero set.",
"arxiv_id": "quant-ph/0111004",
"authors": [
"Hao Chen"
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"title": "Random low rank mixed states are highly entangled",
"url": "https://arxiv.org/abs/quant-ph/0111004"
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