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Zbl 1060.81505
Bruss, Dagmar
Characterizing entanglement.
(English)
[J] J. Math. Phys. 43, No. 9, 4237-4251 (2002). ISSN 0022-2488; ISSN 1089-7658/e

Summary: 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.
MSC 2000:
*81P15 Quantum measurement theory
81-01 Textbooks (quantum theory)
81P68 Quantum computation and quantum cryptography
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Highlights
Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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