Wigner Function Negativity and Contextuality in Quantum Computation on Rebits

Delfosse, Nicolas

doi:10.1103/PhysRevX.5.021003

2015-04-02

141

Delfosse, Nicolas *

Guerin, Philippe Allard

Bian, Jacob

Robert Raussendorf

DOI：10.1103/PhysRevX.5.021003

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摘要

En 中文

We describe a universal scheme of quantum computation by state injection on rebits (states with real density matrices). For this scheme, we establish contextuality and Wigner function negativity as computational resources, extending results of M. Howard et al. [Nature (London) 510, 351 (2014)] to two-level systems. For this purpose, we define a Wigner function suited to systems of n rebits and prove a corresponding discrete Hudson's theorem. We introduce contextuality witnesses for rebit states and discuss the compatibility of our result with state-independent contextuality.

Keyword:

HIDDEN-VARIABLES

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期刊

Physical Review X

IF:

15.7

论文数:

2.7K

被引数:

3.4W

机构

University of Sherbrooke

学者数:

1.1W

论文数: 9.5K

被引数: 11

University of British Columbia

学者数:

7.0W

论文数: 6.1W

被引数: 8.6W

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