dorsal/arxiv
View SchemaSeparability Criterion for Density Matrices
| Authors | Asher Peres |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9604005 |
| URL | https://arxiv.org/abs/quant-ph/9604005 |
| DOI | 10.1103/PhysRevLett.77.1413 |
| Journal | Phys.Rev.Lett.77:1413-1415,1996 |
Abstract
A quantum system consisting of two subsystems is separable if its density matrix can be written as $\rho=\sum_A w_A\,\rho_A'\otimes\rho_A''$, where $\rho_A'$ and $\rho_A''$ are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of $\rho$, has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.
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"abstract": "A quantum system consisting of two subsystems is separable if its density\nmatrix can be written as $\\rho=\\sum_A w_A\\,\\rho_A\u0027\\otimes\\rho_A\u0027\u0027$, where\n$\\rho_A\u0027$ and $\\rho_A\u0027\u0027$ are density matrices for the two subsytems. In this\nLetter, it is shown that a necessary condition for separability is that a\nmatrix, obtained by partial transposition of $\\rho$, has only non-negative\neigenvalues. This criterion is stronger than Bell\u0027s inequality.",
"arxiv_id": "quant-ph/9604005",
"authors": [
"Asher Peres"
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"doi": "10.1103/PhysRevLett.77.1413",
"journal_ref": "Phys.Rev.Lett.77:1413-1415,1996",
"title": "Separability Criterion for Density Matrices",
"url": "https://arxiv.org/abs/quant-ph/9604005"
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