Year: 2012
Type: article
Abstract: 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.
DOI: 10.26421/qic12.5-6-3
Authors: D. Markus Appleby, Ingemar Bengtsson, Stephen Brierley, Markus Grassl, David Gross, Jan-Ake Larsson
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G7276738194
OpenAlex ID: W2949227982