dorsal/arxiv
View SchemaSeparability criterion and inseparable mixed states with positive partial transposition
| Authors | Pawel Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9703004 |
| URL | https://arxiv.org/abs/quant-ph/9703004 |
| DOI | 10.1016/S0375-9601(97)00416-7 |
| Journal | Phys.Lett. A232 (1997) 333 |
Abstract
It is shown that any separable state on Hilbert space ${\cal H}={\cal H}_1\otimes{\cal H}_2$, can be written as a convex combination of N pure product states with $N\leq (dim{\cal H})^2$. Then a new separability criterion for mixed states in terms of range of density matrix is obtained. It is used in construction of inseparable mixed states with positive partial transposition in the case of $3\times 3$ and $2\times 4$ systems. The states represent an entanglement which is hidden in a more subtle way than it has been known so far.
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"abstract": "It is shown that any separable state on Hilbert space ${\\cal H}={\\cal\nH}_1\\otimes{\\cal H}_2$, can be written as a convex combination of N pure\nproduct states with $N\\leq (dim{\\cal H})^2$. Then a new separability criterion\nfor mixed states in terms of range of density matrix is obtained. It is used in\nconstruction of inseparable mixed states with positive partial transposition in\nthe case of $3\\times 3$ and $2\\times 4$ systems. The states represent an\nentanglement which is hidden in a more subtle way than it has been known so\nfar.",
"arxiv_id": "quant-ph/9703004",
"authors": [
"Pawel Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(97)00416-7",
"journal_ref": "Phys.Lett. A232 (1997) 333",
"title": "Separability criterion and inseparable mixed states with positive partial transposition",
"url": "https://arxiv.org/abs/quant-ph/9703004"
},
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