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The monomial representations of the Clifford group
(pp0404-0431)
D.
Markus Appleby, Ingemar Bengtsson, Stephen Brierley, Markus Grassl,
David Gross, and Jan-Ake Larsson
doi:
https://doi.org/10.26421/QIC12.5-6-3
Abstracts:
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.
Key words:
Clifford group, SIC POVM, Representation |
