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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Bibliographic Details
Main Authors:	Metod Saniga, Michel Planat, Petr Pracna, Hans Havlicek
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2007-06-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	generalized quadrangles Veldkamp spaces Pauli operators of two-qubits
Online Access:	http://www.emis.de/journals/SIGMA/2007/075/

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spelling	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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The Veldkamp Space of Two-Qubits

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