Lecture 4 3 CHSH INEQUALITY

Sandro Mareco · 22K views · 2018 · 17:15

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Why Quantum Computing Stack Exchange recommends it

Quantum Computing Stack Exchange users link it as a clear introduction to the CHSH game when asking follow-up questions about correlations, measurement bases and entanglement.

Recommended by 2 people across 2 different months, 2020 to 2024.

What it is

A short lecture by Umesh Vazirani, re-uploaded by Sandro Mareco, covering the CHSH inequality and the CHSH game. It shows how the winning condition xy = a + b (mod 2) is used to bound classical strategies against quantum entangled ones.

What people said

Recommends radar101 · 2020-09 · Quantum Computing Stack Exchange · on “Where does $xy = a + b \pmod 2$ come from in the context of CHSH inequalities?”

I have been looking into the great! video lecture of "CSHS Inequality" by Prof. Umesh V. Vazirani [this video] . There are a few things I have to clarify, hope someone will answer me. Suppose Alice and Bob have measured some outcomes in their bases. I am not quite clear how this is linked to the statement $xy = a + b \pmod 2$ . How are the outputs $a$ and $b$ of Alice and Bobs related to the basis of measurement output?

Recommends Roberto Scotti · 2021-07 · Quantum Computing Stack Exchange · on “How can I observe the effects of the entanglement?”

Many thanks @Condo, CHSH game helped me to understand better. I also went trough this video [this video] . I understand that probability is at the heart of the question but find it difficult to master it. Recalling the example above. I suppose that this sentence is ill but I do not know how to get out of it: if two qubits are entangled and they are measured in the same basis the two measures will always be identical?

Cites Gustavo Mirapalheta · 2024-01 · Quantum Computing Stack Exchange · on “Why divide $\theta$ by 2 when doing the Bell's Inequality Experiment?”

I understood the CHSH game correlations by watching Prof. Vazirani's video [this video] . I also understood that the correlation between two measures taken from different basis are related by the cosine of the angle between the basis vectors (usually called $\theta$ ). Now, when I watch other videos about the CHSH game ( example [LINK] ) when it comes to the moment of calculating the correlations between measurements, it is used $\frac{\theta}{2}$ . Why is that?