Remark on multi-particle observables and entangled states with constant complexity

dc.creatorJanzing, Dominik
dc.creatorBeth, Thomas
dc.date2000-03-24
dc.date.accessioned2026-07-07T05:59:46Z
dc.date.available2026-07-07T05:59:46Z
dc.descriptionWe show that every density matrix of an n-particle system prepared by a quantum network of constant depth is asymptotically commuting with the mean-field observables. We introduce certain pairs of hypersurfaces in the space of density matrices and give lower bounds for the depth of a network which prepares states lying outside those pairs. The measurement of an observable which is not asymptotically commuting with the mean-field observables requires a network of depth in the order of log n, if one demands the measurement to project the state into the eigenspace of the measured observable.
dc.description7 pages, Revtex
dc.identifierhttps://arxiv.org/abs/quant-ph/0003117
dc.identifierhttp://arxiv.org/abs/quant-ph/0003117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88804
dc.subjectQuantum Physics
dc.titleRemark on multi-particle observables and entangled states with constant complexity
dc.typetext

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