An introduction to entanglement measures
By Martin Bodo Plenio, S. Virmani. Quantum information & computation, 2005
1,288 citations recorded by the source corpus.
We review the theory of entanglement measures, concentrating mostly on the finite dimensional two-party case. Topics covered include: single-copy and asymptotic entanglement manipulation; the entanglement of formation; the entanglement cost; the distillable entanglement; the relative entropic measures; the squashed entanglement; log-negativity; the robustness monotones; the greatest cross-norm; uniqueness and extremality theorems. Infinite dimensional systems and multi-party settings will be discussed and an exteneive list of open research questione will be presented.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/4bf8f29fcdd6d8b332152f751f3e32ecaddadb98
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In Artificial Intelligence
- T. Takayanagi
- E. Tonni
- Pasquale Calabrese
- J. Cardy
- Otfried Gühne
- Fernando G. S. L. Brandão
- Marcus Huber
- Mehul Malik
In Atomic and Molecular Physics, and Optics
- E. Tonni
- T. Takayanagi
- Pasquale Calabrese
- J. Cardy
- R. Myers
- T. Nishioka
- Thomas Hartman
- Martin Bodo Plenio
In Computational Theory and Mathematics
- Fernando G. S. L. Brandão
- Otfried Gühne
- Géza Tóth
- Teiko Heinosaari
- Mário Ziman
- Gregg Jaeger
- C. Gross
- Susana F. Huelga
Citations in the corpus
- Geometry of Quantum States: Index (2007, background): “47 There exist also attempts to quantify entanglement by the dynamical properties of a state and the speed of decoherence [135], or the secure key distillation rate [452, 258] and several others [744, 471].”
- Entanglement negativity in extended systems: a field theoretical approach (2012, background): “However, I (n) A:B has not all the correct properties to be an entanglement measure and indeed it is not an entanglement monotone for any n (for example it has been shown that for most of separable mixed states it is non-zero [4]).”
- Entanglement of purification through holographic duality (2017, background): “For detailed reviews of entanglement measures refer to [16, 17, 31, 32].”
- Entanglement theory and the second law of thermodynamics (2008, background): “One such possible setting is the theory of entanglemen”
- Do We Really Understand Quantum Mechanics? (2012, background): “Several such measures have been proposed, generally related to von Neumann entropies; for a review, see for instance [322].”