Characterizing Entanglement

By D. Bruß. 2001

365 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/5427a67866f0201ac22a0ffff820e3cbe175822e

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Qubit Entanglement Breaking Channels (2003, background): “Conditions (C) and (D) use the fact [4, 8, 10, 15] that the PPT (positive partial transpose) condition for separability is also sufficient in the case of qubits.”
Twisted photons: new quantum perspectives in high dimensions (2017, neutral): “Readers interested in the theoretical foundations of quantum information may look into Refs 18 – 21, and to get an overview of photonic quantum information one may look into Ref.”
Entanglement certification from theory to experiment (2018, background): “Previous reviews have captured various aspects of the research in this sub-field, focusing, for example, on the nature of non-entangled states [25], the quantification of entanglement as a resource [26, 27], or providing detailed collections of works on entanglement theory [28] and entanglement dete”
Geometry of Quantum States: Index (2007, background): “The complete wish list (E1–E7) is very demanding, so it is not surprising that instead of one ideal measure of entanglement fulfilling all required properties, the literature contains a plethora of measures [181, 744, 471, 919], each of them satisfying some axioms only.”
Dynamics of initially entangled open quantum systems (2004, background): “To capture these aspects of entanglement we take a page out of an article by Bruss [58] and collect together the points of view about entanglement of various important people in the fields of quantum physics and”
Advances in high-dimensional quantum entanglement (2019, background): “[13] Dagmar Bruß, “Characterizing entanglement,” Journal of Mathematical Physics 43, 4237–4251 (2002).”