Which is the maximum value of the CHSH inequality?
The mathematical formalism of quantum mechanics predicts a maximum value for S of 2 √ 2 ( Tsirelson’s bound ), which is greater than 2, and CHSH violations are therefore predicted by the theory of quantum mechanics. The source S produces pairs of photons, sent in opposite directions.
How is the CHSH inequality used in physics?
In physics, the CHSH inequality can be used in the proof of Bell’s theorem, which states that certain consequences of entanglement in quantum mechanics cannot be reproduced by local hidden variable theories. Experimental verification of violation of the inequalities is seen as experimental confirmation…
Why does the sign of inequality remain the same?
To isolate the variable on the left side of the inequality, we multiply both sides of the inequality by +2. The sign of inequality remains same as before. For this example, to eliminate the coefficient of the variable in the inequality, we must divide both sides of the inequality by +2.
What happens when an inequality is divided with a negative integer?
When an inequality is multiplied or divided with a negative integer, the minus sign multiplies with the sign of inequality, causing it to change. This change in sign directly effects the relation between the two sides of inequality.
When did aspect use the CHSH inequality in Bell test?
Many Bell tests conducted subsequent to Aspect’s second experiment in 1982 have used the CHSH inequality, estimating the terms using (3) and assuming fair sampling. Some dramatic violations of the inequality have been reported.
Who are the authors of the CHSH inequality?
Experimental verification of violation of the inequalities is seen as experimental confirmation that nature cannot be described by local hidden variables theories. CHSH stands for John Clauser, Michael Horne, Abner Shimony, and Richard Holt, who described it in a much-cited paper published in 1969 (Clauser et al., 1969).