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Characterizing Entanglement

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arxiv quant-ph/0110078 v1 pith:SP2W4TQV submitted 2001-10-12 quant-ph

Characterizing Entanglement

classification quant-ph
keywords entanglemententangledquantumstatesaccordingapartappropriatecases
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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    quant-ph 2019-06 unverdicted

    Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.