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The Veldkamp Space of Two-Qubits
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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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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The Veldkamp Space of Two-Qubits
Інший ID:
2000 Mathematics Subject Classification: 51Exx; 81R99
Посилання:
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.
Підтримка:
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”.
Дата:
2007
Переглядів:
501
Завантажень:
250
Анотація:
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).
