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2014-02-04T07:12:40Z

References: Fix CS1 deprecated date parameter errors

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The '''entropy of entanglement''' is an entanglement measure for a bipartite pure states. It is defined as the [[von Neumann entropy]] of one of the reduced states. That is, for a pure state <math>\rho_{AB}= |\Psi\rangle\langle\Psi|</math>, it is given by:

:<math>\mathcal{E}(\rho_{AB})= \mathcal{S}(\rho_A)= \mathcal{S}(\rho_B)</math>

where <math>\mathcal{S}</math> is the [[von Neumann entropy]], <math>\rho_{A}=\mathrm{Tr}_B(\rho_{AB})</math> and <math>\rho_{B}=\mathrm{Tr}_A(\rho_{AB})</math>.

Many entanglement measures reduce to the entropy of entanglement when evaluated on pure states. Among those are:

*Distillable entanglement
*Entanglement cost
*Entanglement of formation
*[[Quantum_relative_entropy#An_entanglement_measure|Relative entropy of entanglement]]
*[[Squashed entanglement]]

Some entanglement measures that do not reduce to the entropy of entanglement are:

*[[Negativity_(quantum_mechanics)|Negativity]]
*[[Logarithmic negativity]]
*Robustness of entanglement<ref>http://www.quantiki.org/wiki/Entropy_of_entanglement</ref><ref>http://www.quantiki.org/wiki/Entropy_of_entanglement</ref>

==References/sources==
{{Reflist}}
*{{cite book
|title=Compendium of Quantum Physics
|chapter=Entropy of Entanglement
|first=Dominik |last=Janzing
|editor1-first=Daniel |editor1-last=Greenberger
|editor2-first=Klaus |editor2-last=Hentschel
|editor3-first=Friedel |editor3-last=Weinert
|pages=205–209
|doi=10.1007/978-3-540-70626-7_66
|isbn=978-3-540-70626-7
|year=2009
|publisher=Springer}}

[[Category:Entropy]]

{{quantum-stub}}

Convergent matrix - Revision history

en>Monkbot: /* References */Fix CS1 deprecated date parameter errors