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Contextuality as a Resource for Models of Quantum Computation with Qubits

Bermejo-Vega, J; Delfosse, N; Browne, DE; Okay, C; Raussendorf, R; (2017) Contextuality as a Resource for Models of Quantum Computation with Qubits. Physical Review Letters , 119 (12) , Article 120505. 10.1103/PhysRevLett.119.120505. Green open access

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Abstract

A central question in quantum computation is to identify the resources that are responsible for quantum speed-up. Quantum contextuality has been recently shown to be a resource for quantum computation with magic states for odd-prime dimensional qudits and two-dimensional systems with real wave functions. The phenomenon of state-independent contextuality poses a priori an obstruction to characterizing the case of regular qubits, the fundamental building block of quantum computation. Here, we establish contextuality of magic states as a necessary resource for a large class of quantum computation schemes on qubits. We illustrate our result with a concrete scheme related to measurement-based quantum computation.

Type: Article
Title: Contextuality as a Resource for Models of Quantum Computation with Qubits
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.119.120505
Publisher version: http://doi.org/10.1103/PhysRevLett.119.120505
Language: English
Additional information: © 2017 American Physical Society. This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Physics, Multidisciplinary, Physics, NORMALIZER CIRCUITS, ENTANGLEMENT
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/1523320
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