About: Pauli group

An Entity of Type: Abstraction100002137, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

In physics and mathematics, the Pauli group on 1 qubit is the 16-element matrix group consisting of the 2 × 2 identity matrix and all of the Pauli matrices , together with the products of these matrices with the factors and : . The Pauli group is generated by the Pauli matrices, and like them it is named after Wolfgang Pauli. The Pauli group on qubits, , is the group generated by the operators described above applied to each of qubits in the tensor product Hilbert space . As an abstract group, is the central product of a cyclic group of order 4 and the dihedral group of order 8.

thumbnail
Property Value
dbo:abstract
  • In physics and mathematics, the Pauli group on 1 qubit is the 16-element matrix group consisting of the 2 × 2 identity matrix and all of the Pauli matrices , together with the products of these matrices with the factors and : . The Pauli group is generated by the Pauli matrices, and like them it is named after Wolfgang Pauli. The Pauli group on qubits, , is the group generated by the operators described above applied to each of qubits in the tensor product Hilbert space . As an abstract group, is the central product of a cyclic group of order 4 and the dihedral group of order 8. The Pauli group is a representation of the gamma group in three-dimensional Euclidean space. It is not isomorphic to the gamma group; it is less free, in that its chiral element is whereas there is no such relationship for the gamma group. (en)
dbo:thumbnail
dbo:wikiPageID
  • 5045613 (xsd:integer)
dbo:wikiPageLength
  • 2321 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1035404798 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • In physics and mathematics, the Pauli group on 1 qubit is the 16-element matrix group consisting of the 2 × 2 identity matrix and all of the Pauli matrices , together with the products of these matrices with the factors and : . The Pauli group is generated by the Pauli matrices, and like them it is named after Wolfgang Pauli. The Pauli group on qubits, , is the group generated by the operators described above applied to each of qubits in the tensor product Hilbert space . As an abstract group, is the central product of a cyclic group of order 4 and the dihedral group of order 8. (en)
rdfs:label
  • Pauli group (en)
owl:sameAs
prov:wasDerivedFrom
foaf:depiction
foaf:isPrimaryTopicOf
is dbo:knownFor of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License