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Contextuality and Wigner-function negativity in qubit quantum computation

Raussendorf, R; Browne, DE; Delfosse, N; Okay, C; Bermejo-Vega, J; (2017) Contextuality and Wigner-function negativity in qubit quantum computation. Physical Review A , 95 (5) , Article 052334. 10.1103/PhysRevA.95.052334. Green open access

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Abstract

We describe schemes of quantum computation with magic states on qubits for which contextuality and negativity of the Wigner function are necessary resources possessed by the magic states. These schemes satisfy a constraint. Namely, the non-negativity of Wigner functions must be preserved under all available measurement operations. Furthermore, we identify stringent consistency conditions on such computational schemes, revealing the general structure by which negativity of Wigner functions, hardness of classical simulation of the computation, and contextuality are connected.

Type: Article
Title: Contextuality and Wigner-function negativity in qubit quantum computation
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.95.052334
Publisher version: http://dx.doi.org/10.1103/PhysRevA.95.052334
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Optics, Physics, Atomic, Molecular & Chemical, Physics, HIDDEN-VARIABLES, MECHANICS, COMPUTER, THEOREMS, STATES
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/1513957
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