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arXiv · 2201.10188

Experimental test of Tsirelson's bound with a single photonic qubit

Zhiyu Tian·Yuan-Yuan Zhao·Hao Wu·Zhao Wang·Le Luo
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Abstract

For many protocols, quantum strategies have advantages compared with their classical counter-partners, and these advantages have attracted many interests and applications. One of the famous examples is the Clauser-Horne-Shimony-Holt (CHSH) game, which recasts Bell's theorem~\cite{2} into the framework of a game. In the CHSH game, two space-like separated players, Alice and Bob are each assigned a classical bit $a$ and $b$ respectively. Then they return bits $x$ and $y$ according to some pre-agreed strategies. They will win the game when $x\oplus y= a\cdot b$. In the game, if the players use the classical strategies, the optimal success probability $w(\text{CHSH})=0.75$.However, if they add some quantum resources, the success probability will increase and up to maximal value $cos^2(\pi/8)$, which is know as the Tsirelson's bound. Moreover, Popescu and Rohrlich noted that the perfect success probability $1$ can also be achieved in a more general theory without violating the no-signaling assumption

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Zhiyu Tian, Yuan-Yuan Zhao, Hao Wu, Zhao Wang, Le Luo. 2022-01-25. Experimental test of Tsirelson's bound with a single photonic qubit. https://arxiv.org/abs/2201.10188

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