Multiple Qubits as Symplectic Polar Spaces of Order Two

dc.creatorSaniga, Metod
dc.creatorPlanat, Michel
dc.date2006-12-21
dc.date.accessioned2026-07-07T07:55:17Z
dc.date.available2026-07-07T07:55:17Z
dc.descriptionIt is surmised that the algebra of the Pauli operators on the Hilbert space of N-qubits is embodied in the geometry of the symplectic polar space of rank N and order two, W_{2N - 1}(2). The operators (discarding the identity) answer to the points of W_{2N - 1}(2), their partitionings into maximally commuting subsets correspond to spreads of the space, a maximally commuting subset has its representative in a maximal totally isotropic subspace of W_{2N - 1}(2) and, finally, "commuting" translates into "collinear" (or "perpendicular").
dc.description2 pages, no figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0612179
dc.identifierhttp://arxiv.org/abs/quant-ph/0612179
dc.identifierAdvanced Studies in Theoretical Physics 1 (2007) 1 - 4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126912
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleMultiple Qubits as Symplectic Polar Spaces of Order Two
dc.typetext

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