Magic informationally complete POVMs with permutations

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,...

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Detalles Bibliográficos
Autores principales: Planat, Michel, Gedik, Zafer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2017
Materias:
Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5627088/
https://www.ncbi.nlm.nih.gov/pubmed/28989748
http://dx.doi.org/10.1098/rsos.170387
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author Planat, Michel
Gedik, Zafer
author_facet Planat, Michel
Gedik, Zafer
author_sort Planat, Michel
collection PubMed
description 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.
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spelling pubmed-56270882017-10-08 Magic informationally complete POVMs with permutations Planat, Michel Gedik, Zafer R Soc Open Sci Physics 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. The Royal Society Publishing 2017-09-06 /pmc/articles/PMC5627088/ /pubmed/28989748 http://dx.doi.org/10.1098/rsos.170387 Text en © 2017 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Physics
Planat, Michel
Gedik, Zafer
Magic informationally complete POVMs with permutations
title Magic informationally complete POVMs with permutations
title_full Magic informationally complete POVMs with permutations
title_fullStr Magic informationally complete POVMs with permutations
title_full_unstemmed Magic informationally complete POVMs with permutations
title_short Magic informationally complete POVMs with permutations
title_sort magic informationally complete povms with permutations
topic Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5627088/
https://www.ncbi.nlm.nih.gov/pubmed/28989748
http://dx.doi.org/10.1098/rsos.170387
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