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The uniqueness theorem for entanglement measures
We explore and develop the mathematics of the theory of entanglement measures. After a careful review and analysis of definitions, of preliminary results, and of connections between conditions on enta...

Characterizing entanglement

J. Math. Phys. 43, 4237 (2002); doi:10.1063/1.1494474

Issue Date: September 2002

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Dagmar Bruß
Institut für Theoretische Physik, Universität Hannover, Appelstr. 2, D-30167 Hannover, Germany
Quantum entanglement is at the heart of many tasks in quantum information. Apart from simple cases (low dimensions, few particles, pure states), however, the mathematical structure of entanglement is not yet fully understood. This tutorial is an introduction to our present knowledge about how to decide whether a given state is separable or entangled, how to characterize entanglement via witness operators, how to classify entangled states according to their usefulness (i.e., distillability), and how to quantify entanglement with appropriate measures.
History: Received 9 May 2002; accepted 16 May 2002
Permalink: http://link.aip.org/link/?JMAPAQ/43/4237/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.Ud
    Quantum mechanics, field theories, and special relativity Quantum mechanics Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)
  • 03.67.-a
    Quantum mechanics, field theories, and special relativity Quantum information
  • YEAR: 2002

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0022-2488 (print)   1089-7658 (online)
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REFERENCES (30)
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