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Journal Articles Royal Society Open Science Year : 2017

Magic informationally complete POVMs with permutations

Abstract

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.

Dates and versions

hal-02131395 , version 1 (16-05-2019)

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Michel Planat, Zafer Gedik. Magic informationally complete POVMs with permutations. Royal Society Open Science, 2017, 4 (9), pp.170387. ⟨10.1098/rsos.170387⟩. ⟨hal-02131395⟩
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