Analysis Seminar

Yin Zhi, Harbin Institute of Technology

"Random and free observables saturate the Tsirelson bound for CHSH inequality"

Maximal violation of the CHSH-Bell inequality is usually said to be a feature of anticommuting observables. In this work we show that even random observables exhibit near-maximal violations of the CHSH-Bell inequality. To do this, we use the tools of free probability theory to analyze random matrices with large dimension. Along the way, we introduce the notion of "free observables" which can be thought of as infinite-dimensional operators that reproduce the statistics of random matrices as their dimension tends towards infinity.

MC 5417