Existence of incomparable pure bipartite states in infinite dimensional systems

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dc.creatorOwari, Masaki
dc.creatorMatsumoto, Keiji
dc.creatorMurao, Mio
dc.date2003-12-10
dc.date2003-12-29
dc.date.accessioned2026-07-07T06:08:34Z
dc.date.available2026-07-07T06:08:34Z
dc.descriptionBased on set theoretic ordering properties, a general formulation for constructing a pair of convertibility monotones, which are generalizations of distillable entanglement and entanglement cost, is presented. The new pair of monotones do not always coincide for pure bipartite infinite dimensional states under SLOCC (stochastic local operations and classical communications), demonstrating the existence of SLOCC incomparable pure bipartite states, a new property of entanglement in infinite dimensional systems, with no counterpart in the corresponding finite dimensional systems.
dc.identifierhttps://arxiv.org/abs/quant-ph/0312091
dc.identifierhttp://arxiv.org/abs/quant-ph/0312091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91677
dc.subjectQuantum Physics
dc.titleExistence of incomparable pure bipartite states in infinite dimensional systems
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