A necessary and sufficient condition for optimal decompositions

dc.creatorPrager, Tobias
dc.date2001-06-06
dc.date2001-09-05
dc.date.accessioned2026-07-07T06:02:12Z
dc.date.available2026-07-07T06:02:12Z
dc.descriptionAn important measure of bipartite entanglement is the entanglement of formation, which is defined as the minimum average pure state entanglement of all decompositions realizing a given state. A decomposition which achieves this minimum is called an optimal decomposition. However, as for the entanglement of formation, there is not much known about the structure of such optimal decompositions, except for some special cases, like states of two qubits or isotropic states. Here we present a necessary and sufficient condition for a set of pure states of a finite dimensional bipartite system to form an optimal decomposition. This condition is well suited to treat the question, whether the entanglement of formation is additive or not.
dc.description4 pages, RevTeX, minor changes
dc.identifierhttps://arxiv.org/abs/quant-ph/0106030
dc.identifierhttp://arxiv.org/abs/quant-ph/0106030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89524
dc.subjectQuantum Physics
dc.titleA necessary and sufficient condition for optimal decompositions
dc.typetext

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