Equations for the overlaps of a SIC
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929354535075840 |
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| author | Bos, Len Waldron, Shayne |
| author_facet | Bos, Len Waldron, Shayne |
| contents | We give a holomorphic quartic polynomial in the overlap variables whose zeros on the torus are precisely the Weyl-Heisenberg SICs (symmetric informationally complete positive operator valued measures). By way of comparison, all the other known systems of equations that determine a Weyl-Heisenberg SIC involve variables and their complex conjugates. We also give a related interesting result about the powers of the projective Fourier transform of the group G = Z d x Z d . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equations for the overlaps of a SIC Bos, Len Waldron, Shayne Information Theory 20F70, 81P15, 81Q10, 81R05 We give a holomorphic quartic polynomial in the overlap variables whose zeros on the torus are precisely the Weyl-Heisenberg SICs (symmetric informationally complete positive operator valued measures). By way of comparison, all the other known systems of equations that determine a Weyl-Heisenberg SIC involve variables and their complex conjugates. We also give a related interesting result about the powers of the projective Fourier transform of the group G = Z d x Z d . |
| title | Equations for the overlaps of a SIC |
| topic | Information Theory 20F70, 81P15, 81Q10, 81R05 |
| url | https://arxiv.org/abs/2405.14123 |