The Veldkamp Space of Two-Qubits

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dc.contributor.authorSaniga, M.
dc.contributor.authorPlanat, M.
dc.contributor.authorPracna, P.
dc.contributor.authorHavlicek, H.
dc.date.accessioned2019-02-14T14:56:12Z
dc.date.available2019-02-14T14:56:12Z
dc.date.issued2007
dc.description.abstractGiven a remarkable representation of the generalized Pauli operators of two-qubits in terms of the points of the generalized quadrangle of order two, W(2), it is shown that specific subsets of these operators can also be associated with the points and lines of the four-dimensional projective space over the Galois field with two elements - the so-called Veldkamp space of W(2). An intriguing novelty is the recognition of (uni- and tri-centric) triads and specific pentads of the Pauli operators in addition to the ''classical'' subsets answering to geometric hyperplanes of W(2).uk_UA
dc.description.sponsorshipThis work was partially supported by the Science and Technology Assistance Agency under the contract # APVT–51–012704, the VEGA grant agency projects # 2/6070/26 and # 7012 (all from Slovak Republic), the trans-national ECO-NET project # 12651NJ “Geometries Over Finite Rings and the Properties of Mutually Unbiased Bases” (France), the CNRS–SAV Project # 20246 “Projective and Related Geometries for Quantum Information” (France/Slovakia) and by the hAction Austria–Slovakiai project # 58s2 “Finite Geometries Behind Hilbert Spaces”.uk_UA
dc.identifier.citationThe Veldkamp Space of Two-Qubits / M. Saniga, M. Planat, P. Pracna, H. Havlicek // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 14 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 51Exx; 81R99
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147382
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Veldkamp Space of Two-Qubitsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік