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The monomial representations of the Clifford group
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- Appleby, D. M. (author)
- Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada
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- Bengtsson, Ingemar (author)
- Stockholms universitet,Fysikum,Stockholms Universitet, AlbaNova, Fysikum, Stockholm, Sweden
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- Brierley, Stephen (author)
- Department of Mathematics, University of Bristol, UK
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- (creator_code:org_t)
- Rinton Press, Inc. 2012
- 2012
- English.
- In: Quantum information & computation. - : Rinton Press, Inc.. - 1533-7146. ; 12:5-6, s. 404-431
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- We show that the Clifford group-the normaliser of the Weyl-Heisenberg group-can be represented by monomial phase-permutation matrices if and only if the dimension is a square number. This simplifies expressions for SIC vectors, and has other applications to SICs and to Mutually Unbiased Bases. Exact solutions for SICs in dimension 16 are presented for the first time.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- Clifford group
- SIC POVM
- Representation
- TECHNOLOGY
- TEKNIKVETENSKAP
- Physics
Publication and Content Type
- ref (subject category)
- art (subject category)
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