Algebraic-geometric separability criterion and low rank mixed state entanglement

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dc.creatorChen, Hao
dc.date2002-07-22
dc.date.accessioned2026-07-07T06:04:38Z
dc.date.available2026-07-07T06:04:38Z
dc.descriptionWe first propose a new separability criterion based on algebraic-geometric invariants of bipartite mixed states introduced in [1], then prove that for all low ranks r <m+n-2, generic rank r mixed states in mxn systems have relatively high Schmidt numbers (thus entangled) by this separability criterion. This also means that the algebraic-geometric separability criterion proposed here can be used to dectect all low rank entangled mixed states outside a measure zero set.
dc.description13 pages, no figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0207130
dc.identifierhttp://arxiv.org/abs/quant-ph/0207130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90369
dc.subjectQuantum Physics
dc.titleAlgebraic-geometric separability criterion and low rank mixed state entanglement
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