Tsirelson's 2√2
Plate 039 Physics Poster
Plate 39 speaks for itself: “Nature beats the classical limit by √2.”
The Physics
In a CHSH Bell test, local hidden-variable theories keep the correlation sum S within 2. Quantum mechanics allows up to 2√2 ≈ 2.83, Tsirelson's bound, and experiments land above 2.
|S| ≤ 2√2
- S: CHSH combination of four correlation coefficients, dimensionless
Local hidden variables: |S| ≤ 2. Aspect et al., 1982: S = 2.697 ± 0.015.
Sources
- B. S. Cirel'son, Lett. Math. Phys. 4, 93 (1980).
- A. Aspect, P. Grangier, G. Roger, Phys. Rev. Lett. 49, 91 (1982).
On the poster
Plate 039, “Tsirelson's 2√2”: the pixel-art plate with its slogan “Nature beats the classical limit by √2.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.
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