dorsal/arxiv
View SchemaDetecting multipartite entanglement
| Authors | Andrew C. Doherty, Pablo A. Parrilo, Federico M. Spedalieri |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407143 |
| URL | https://arxiv.org/abs/quant-ph/0407143 |
| DOI | 10.1103/PhysRevA.71.032333 |
| Journal | Phys. Rev. A, Vol. 71, 032333 (2005) |
Abstract
We discuss the problem of determining whether the state of several quantum mechanical subsystems is entangled. As in previous work on two subsystems we introduce a procedure for checking separability that is based on finding state extensions with appropriate properties and may be implemented as a semidefinite program. The main result of this work is to show that there is a series of tests of this kind such that if a multiparty state is entangled this will eventually be detected by one of the tests. The procedure also provides a means of constructing entanglement witnesses that could in principle be measured in order to demonstrate that the state is entangled.
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"abstract": "We discuss the problem of determining whether the state of several quantum\nmechanical subsystems is entangled. As in previous work on two subsystems we\nintroduce a procedure for checking separability that is based on finding state\nextensions with appropriate properties and may be implemented as a semidefinite\nprogram. The main result of this work is to show that there is a series of\ntests of this kind such that if a multiparty state is entangled this will\neventually be detected by one of the tests. The procedure also provides a means\nof constructing entanglement witnesses that could in principle be measured in\norder to demonstrate that the state is entangled.",
"arxiv_id": "quant-ph/0407143",
"authors": [
"Andrew C. Doherty",
"Pablo A. Parrilo",
"Federico M. Spedalieri"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.032333",
"journal_ref": "Phys. Rev. A, Vol. 71, 032333 (2005)",
"title": "Detecting multipartite entanglement",
"url": "https://arxiv.org/abs/quant-ph/0407143"
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