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Published Online: 20 August 2002
Accepted: May 2002

Characterizing entanglement

Journal of Mathematical Physics 43, 4237 (2002); https://doi.org/10.1063/1.1494474
Dagmar Bruß
more...View Affiliations
  • Institut für Theoretische Physik, Universität Hannover, Appelstr. 2, D-30167 Hannover, Germany
Abstract
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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