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https://scholarbank.nus.edu.sg/handle/10635/112531
| Title: | The monomial representations of the Clifford group | Authors: | Appleby, D.M. Bengtsson, I. Brierley, S. Grassl, M. Gross, D. Larsson, J.-Å. |
Keywords: | Clifford group Representation SIC POVM |
Issue Date: | 1-May-2012 | Citation: | Appleby, D.M.,Bengtsson, I.,Brierley, S.,Grassl, M.,Gross, D.,Larsson, J.-Å. (2012-05-01). The monomial representations of the Clifford group. Quantum Information and Computation 12 (5-6) : 404-431. ScholarBank@NUS Repository. | 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. © Rinton Press. | Source Title: | Quantum Information and Computation | URI: | http://scholarbank.nus.edu.sg/handle/10635/112531 | ISSN: | 15337146 |
| Appears in Collections: | Staff Publications |
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