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Separability conditions from the Landau-Pollak uncertainty relation

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URI: https://hdl.handle.net/10016/6582
ISSN: 1050-2947 (Print)
ISSN: 1094-1622 (Online)
DOI: 10.1103/PhysRevA.71.052325
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separability_sanchez_pra_2005_ps.pdf (201.83 KB)
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2005-05
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American Physical Society
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Abstract
We obtain a collection of necessary (sufficient) conditions for a bipartite system of qubits to be separable (entangled), which are based on the Landau-Pollak formulation of the uncertainty principle. These conditions are tested and compared with previously stated criteria by applying them to states whose separability limits are already known. Our results are also extended to multipartite and higher-dimensional systems.
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8 pages, no figures.-- PACS nrs.: 03.67.Mn, 03.65.Ud, 03.65.Ta.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0502062
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[PACS] Entanglement measures, witnesses, and other characterizations, [PACS] Entanglement and quantum nonlocality, [PACS] Foundations of quantum mechanics; measurement theory
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Physical Review A 71, 052325 (2005)
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