Magic informationally complete POVMs with permutations
| Affiliation auteurs | Affiliation ok |
| Titre | Magic informationally complete POVMs with permutations |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | Planat M, Gedik Z |
| Journal | ROYAL SOCIETY OPEN SCIENCE |
| Volume | 4 |
| Pagination | 170387 |
| Date Published | SEP |
| Type of Article | Article |
| ISSN | 2054-5703 |
| Mots-clés | finite geometry, informationally complete POVMs, magic states, permutation groups, quantum contextuality |
| Résumé | Eigenstates of permutation gates are either stabilizer states (for gates in the Pauli group) or magic states, thus allowing universal quantum computation (Planat, Rukhsan-Ul-Haq 2017 Adv.Math.Phys. 2017, 5287862 (doi: 10.1155/2017/5287862)). We show in this paper that a subset of such magic states, when acting on the generalized Pauli group, define (asymmetric) informationally complete POVMs. Such informationally complete POVMs, investigated in dimensions 2-12, exhibit simple finite geometries in their projector products and, for dimensions 4 and 8 and 9, relate to two-qubit, three-qubit and two-qutrit contextuality. |
| DOI | 10.1098/rsos.170387 |