Simplifying monotonicity conditions for entanglement measures

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dc.creatorHorodecki, Michal
dc.date2004-12-28
dc.date.accessioned2026-07-07T06:22:25Z
dc.date.available2026-07-07T06:22:25Z
dc.descriptionWe show that for a convex function the following, rather modest conditions, are equivalent to monotonicity under local operations and classical communication. The conditions are: 1)invariance under local unitaries, 2) invariance under adding local ancilla in arbitrary state 3) on mixtures of states possessing local orthogonal flags the function is equal to its average. The result holds for multipartite systems. It is intriguing that the obtained conditions are equalities. The only inequality is hidden in the condition of convexity.
dc.description4 pages Revtex4
dc.identifierhttps://arxiv.org/abs/quant-ph/0412210
dc.identifierhttp://arxiv.org/abs/quant-ph/0412210
dc.identifierOpen Syst. Inf. Dyn. 12, 231 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95903
dc.subjectQuantum Physics
dc.titleSimplifying monotonicity conditions for entanglement measures
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