Tomography in abstract Hilbert spaces

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dc.creatorMan'ko, V. I.
dc.creatorMarmo, G.
dc.creatorSimoni, A.
dc.creatorVentriglia, F.
dc.date2006-04-06
dc.date.accessioned2026-07-07T07:11:48Z
dc.date.available2026-07-07T07:11:48Z
dc.descriptionThe tomographic description of a quantum state is formulated in an abstract infinite dimensional Hilbert space framework, the space of the Hilbert-Schmidt linear operators, with trace formula as scalar product. Resolutions of the unity, written in terms of over-complete sets of rank-one projectors and of associated Gram-Schmidt operators taking into account their non-orthogonality, are then used to reconstruct a quantum state from its tomograms. Examples of well known tomographic descriptions illustrate the exposed theory.
dc.description16 pages, presented at Palermo "TQMFA2005" Conference. To appear on "Open Systems & Information Dynamics" (2006)
dc.identifierhttps://arxiv.org/abs/quant-ph/0604039
dc.identifierhttp://arxiv.org/abs/quant-ph/0604039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111897
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleTomography in abstract Hilbert spaces
dc.typetext

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