Magic informationally complete POVMs with permutations

Planat, Michel and Gedik, Zafer (2017) Magic informationally complete POVMs with permutations. Royal Society Open Science . ISSN 2054-5703 Published Online First http://dx.doi.org/10.1098/rsos.170387

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Official URL: http://dx.doi.org/10.1098/rsos.170387


Eigenstates of permutation gates are either stabilizer states (for gates in the Pauli group) or magic states, thus allowing universal quantum computation (M. Planat and Rukhsan-Ul- Haq, Preprint 1701.06443). 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 IC-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.

Item Type:Article
Subjects:Q Science > Q Science (General)
ID Code:33639
Deposited By:Zafer Gedik
Deposited On:09 Sep 2017 14:56
Last Modified:09 Sep 2017 14:56

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