Raussendorf, Robert and Browne, Dan E. and Delfosse, Nicolas and Okay, Cihan and Bermejo-Vega, Juan (2017) Contextuality and Wigner-function negativity in qubit quantum computation. Physical Review A, 95 (5). Art. No. 052334. ISSN 0556-2791. doi:10.1103/PhysRevA.95.052334. https://resolver.caltech.edu/CaltechAUTHORS:20160622-152421080
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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.
Item Type: | Article | ||||||||||||
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Alternate Title: | Contextuality as a resource for qubit quantum computation | ||||||||||||
Additional Information: | © 2017 American Physical Society. Received 16 November 2016; published 17 May 2017. R.R. thanks Terry Rudolph and the Horodecki family for discussion. This work has been funded by NSERC (N.D., C.O., and R.R.), SIQS (J.B.V.), AQuS (J.B.V.), Cifar (N.D. and R.R.), and IARPA (R.R.). R.R. acknowledges support from a fellowship from the Cifar (Canadian Institute for Advanced Research) Quantum Information Program. | ||||||||||||
Group: | Institute for Quantum Information and Matter | ||||||||||||
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Issue or Number: | 5 | ||||||||||||
Classification Code: | PACS numbers: 03.67.Mn, 03.65.Ud, 03.67.Ac | ||||||||||||
DOI: | 10.1103/PhysRevA.95.052334 | ||||||||||||
Record Number: | CaltechAUTHORS:20160622-152421080 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160622-152421080 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 68610 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Jacquelyn O'Sullivan | ||||||||||||
Deposited On: | 27 Jun 2016 17:22 | ||||||||||||
Last Modified: | 11 Nov 2021 04:02 |
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