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періодичних видань НАН України
The Veldkamp Space of Two-Qubits
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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| dc.contributor.author | Saniga, M. | |
| dc.contributor.author | Planat, M. | |
| dc.contributor.author | Pracna, P. | |
| dc.contributor.author | Havlicek, H. | |
| dc.date.accessioned | 2019-02-14T14:56:12Z | |
| dc.date.available | 2019-02-14T14:56:12Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | The 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.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 51Exx; 81R99 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147382 | |
| dc.description.abstract | Given 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.sponsorship | This 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.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | The Veldkamp Space of Two-Qubits | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
