Continuous-variable nonlocality and contextuality

Rui Soares Barbosa, Tom Douce, Pierre-Emmanuel Emeriau, Elham Kashefi, Shane Mansfield

Research output: Contribution to conferencePaperpeer-review

Abstract / Description of output

Contextuality is a non-classical behaviour that can be exhibited by quantum systems. It is increasingly studied for its relationship to quantum-over-classical advantages in informatic tasks. To date, it has largely been studied in discrete variable scenarios, where observables take values in discrete and usually finite sets. Practically, on the other hand, continuous-variable scenarios offer some of the most promising candidates for implementing quantum computations and informatic protocols. Here we set out a framework for treating contextuality in continuous-variable scenarios. It is shown that the Fine--Abramsky--Brandenburger theorem extends to this setting, an important consequence of which is that nonlocality can be viewed as a special case of contextuality, as in the discrete case. The contextual fraction, a quantifiable measure of contextuality that bears a precise relationship to Bell inequality violations and quantum advantages, can also be defined in this setting. It is shown to be a non-increasing monotone with respect to classical operations that include binning to dis cretise data. Finally, we consider how the contextual fraction can be formulated as an infinite linear program, and calculated with increasing accuracy using semi-definite programming approximations.
Original languageEnglish
Number of pages21
Publication statusPublished - 11 Jun 2019
Event16th International Conference on Quantum Physics and Logic - Chapman University, Orange, United States
Duration: 10 Jun 201914 Jun 2019
Conference number: 16


Conference16th International Conference on Quantum Physics and Logic
Abbreviated titleQPL 2019
Country/TerritoryUnited States
Internet address


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