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Quantum Simulation
Entanglement Theory Quantum Correlations
Entanglement in non-local games and the hyperlinear profile of groups
arXiv
Authors: William Slofstra, Thomas Vidick
Year
2017
Paper ID
24828
Status
Preprint
Abstract Read
~2 min
Abstract Words
78
Citations
N/A
Abstract
We relate the amount of entanglement required to play linear-system non-local games near-optimally to the hyperlinear profile of finitely-presented groups. By calculating the hyperlinear profile of a certain group, we give an example of a finite non-local game for which the amount of entanglement required to play varepsilon-optimally is at least Ω\(1/varepsilonk\), for some k>0. Since this function approaches infinity as varepsilon approaches zero, this provides a quantitative version of a theorem of the first author.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We relate the amount of entanglement required to play linear-system non-local games near-optimally to the hyperlinear profile of finitely-presented groups.
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