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Entanglement Theory Quantum Correlations
Quantum Foundations
Wigner function negativity and contextuality in quantum computation on rebits
arXiv
Authors: Nicolas Delfosse, Philippe Allard Guerin, Jacob Bian, Robert Raussendorf
Year
2014
Paper ID
47459
Status
Preprint
Abstract Read
~2 min
Abstract Words
81
Citations
N/A
Abstract
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 510, 351--355 (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.
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- This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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- We describe a universal scheme of quantum computation by state injection on rebits (states with real density matrices).
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