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.
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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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