dorsal/arxiv
View SchemaA matrix realignment method for recognizing entanglement
| Authors | Kai Chen, Ling-An Wu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205017 |
| URL | https://arxiv.org/abs/quant-ph/0205017 |
| Journal | Quantum Information and Computation, Vol.3, No.3 (2003) 193-202 |
Abstract
Motivated by the Kronecker product approximation technique, we have developed a very simple method to assess the inseparability of bipartite quantum systems, which is based on a realigned matrix constructed from the density matrix. For any separable state, the sum of the singular values of the matrix should be less than or equal to 1. This condition provides a very simple, computable necessary criterion for separability, and shows powerful ability to identify most bound entangled states discussed in the literature. As a byproduct of the criterion, we give an estimate for the degree of entanglement of the quantum state.
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"abstract": "Motivated by the Kronecker product approximation technique, we have developed\na very simple method to assess the inseparability of bipartite quantum systems,\nwhich is based on a realigned matrix constructed from the density matrix. For\nany separable state, the sum of the singular values of the matrix should be\nless than or equal to 1. This condition provides a very simple, computable\nnecessary criterion for separability, and shows powerful ability to identify\nmost bound entangled states discussed in the literature. As a byproduct of the\ncriterion, we give an estimate for the degree of entanglement of the quantum\nstate.",
"arxiv_id": "quant-ph/0205017",
"authors": [
"Kai Chen",
"Ling-An Wu"
],
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],
"journal_ref": "Quantum Information and Computation, Vol.3, No.3 (2003) 193-202",
"title": "A matrix realignment method for recognizing entanglement",
"url": "https://arxiv.org/abs/quant-ph/0205017"
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