Symmetric Informationally Complete Quantum Measurements

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dc.creatorRenes, Joseph M.
dc.creatorBlume-Kohout, Robin
dc.creatorScott, A. J.
dc.creatorCaves, Carlton M.
dc.date2003-10-13
dc.date.accessioned2026-07-07T08:18:19Z
dc.date.available2026-07-07T08:18:19Z
dc.descriptionWe consider the existence in arbitrary finite dimensions d of a POVM comprised of d^2 rank-one operators all of whose operator inner products are equal. Such a set is called a ``symmetric, informationally complete'' POVM (SIC-POVM) and is equivalent to a set of d^2 equiangular lines in C^d. SIC-POVMs are relevant for quantum state tomography, quantum cryptography, and foundational issues in quantum mechanics. We construct SIC-POVMs in dimensions two, three, and four. We further conjecture that a particular kind of group-covariant SIC-POVM exists in arbitrary dimensions, providing numerical results up to dimension 45 to bolster this claim.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0310075
dc.identifierhttp://arxiv.org/abs/quant-ph/0310075
dc.identifierJ. Math. Phys. 45, 2171 (2004)
dc.identifierdoi:10.1063/1.1737053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134393
dc.subjectQuantum Physics
dc.subjectInformation Theory
dc.subjectFunctional Analysis
dc.titleSymmetric Informationally Complete Quantum Measurements
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