The Veldkamp Space of Two-Qubits
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 o...
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National Academy of Science of Ukraine
2007-06-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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Online Access: | http://www.emis.de/journals/SIGMA/2007/075/ |
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doaj-4950587085fc4583bae5da3527ae9f662020-11-24T22:40:43ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-06-013075The Veldkamp Space of Two-QubitsMetod SanigaMichel PlanatPetr PracnaHans HavlicekGiven 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).http://www.emis.de/journals/SIGMA/2007/075/generalized quadranglesVeldkamp spacesPauli operators of two-qubits |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Metod Saniga Michel Planat Petr Pracna Hans Havlicek |
spellingShingle |
Metod Saniga Michel Planat Petr Pracna Hans Havlicek The Veldkamp Space of Two-Qubits Symmetry, Integrability and Geometry: Methods and Applications generalized quadrangles Veldkamp spaces Pauli operators of two-qubits |
author_facet |
Metod Saniga Michel Planat Petr Pracna Hans Havlicek |
author_sort |
Metod Saniga |
title |
The Veldkamp Space of Two-Qubits |
title_short |
The Veldkamp Space of Two-Qubits |
title_full |
The Veldkamp Space of Two-Qubits |
title_fullStr |
The Veldkamp Space of Two-Qubits |
title_full_unstemmed |
The Veldkamp Space of Two-Qubits |
title_sort |
veldkamp space of two-qubits |
publisher |
National Academy of Science of Ukraine |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
issn |
1815-0659 |
publishDate |
2007-06-01 |
description |
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). |
topic |
generalized quadrangles Veldkamp spaces Pauli operators of two-qubits |
url |
http://www.emis.de/journals/SIGMA/2007/075/ |
work_keys_str_mv |
AT metodsaniga theveldkampspaceoftwoqubits AT michelplanat theveldkampspaceoftwoqubits AT petrpracna theveldkampspaceoftwoqubits AT hanshavlicek theveldkampspaceoftwoqubits AT metodsaniga veldkampspaceoftwoqubits AT michelplanat veldkampspaceoftwoqubits AT petrpracna veldkampspaceoftwoqubits AT hanshavlicek veldkampspaceoftwoqubits |
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1725703703056351232 |