The monomial representations of the Clifford group
Quantum Physics
2022-03-16 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1102.1268,
title = {The monomial representations of the Clifford group},
author = {D. M. Appleby and Ingemar Bengtsson and Stephen Brierley and Markus Grassl and David Gross and Jan-Åke Larsson},
journal= {arXiv preprint arXiv:1102.1268},
year = {2022}
}
Comments
Additional author and exact solutions to the SIC problem in dimension 16 added