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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| Дата: | 2007 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147382 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147382 |
|---|---|
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dspace |
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irk-123456789-1473822019-02-15T01:24:10Z The Veldkamp Space of Two-Qubits Saniga, M. Planat, M. Pracna, P. Havlicek, H. 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). 2007 Article 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. 1815-0659 2000 Mathematics Subject Classification: 51Exx; 81R99 http://dspace.nbuv.gov.ua/handle/123456789/147382 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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). |
| format |
Article |
| author |
Saniga, M. Planat, M. Pracna, P. Havlicek, H. |
| spellingShingle |
Saniga, M. Planat, M. Pracna, P. Havlicek, H. The Veldkamp Space of Two-Qubits Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Saniga, M. Planat, M. Pracna, P. Havlicek, H. |
| author_sort |
Saniga, M. |
| 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 |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147382 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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| first_indexed |
2023-05-20T17:27:11Z |
| last_indexed |
2023-05-20T17:27:11Z |
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