Coherent states, entanglement, and geometric invariant theory

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dc.creatorKlyachko, Alexander
dc.date2002-06-03
dc.date.accessioned2026-07-07T06:04:17Z
dc.date.available2026-07-07T06:04:17Z
dc.descriptionThe main objective of the paper is to unveil an adequate mathematics hidden behind entanglement, that is Geometric Invariant Theory. More specifically relation between these two subjects can be described by the following theses. (i) Total variance of completely entangled state is maximal. (ii) This distinguishes the state as a minimal vector in its orbit under action of complexified dynamic group. (iii) An ultimate aim of Geometric Invariant Theory is a description of complex orbits and their minimal vectors. It suggests that noncompletely entangled states are just GIT semistable vectors.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0206012
dc.identifierhttp://arxiv.org/abs/quant-ph/0206012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90247
dc.subjectQuantum Physics
dc.titleCoherent states, entanglement, and geometric invariant theory
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