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conditions, but all are characterized by sharp peaks (and valleys) at 0, 180, 360 degrees, and none has more extreme values (+/-0.5) at 45, 135, 225, 315 degrees. These values are marked by stars in the graph, and are the values measured in a standard Bell-CHSH type experiment: QM allows , local realism predicts or less. svg("Bell.svg", width = 7, height = 6)
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The best possible local realist imitation (red) for the quantum correlation of two spins in the singlet state (blue), insisting on perfect anti-correlation at zero degrees, perfect correlation at 180 degrees. Many other possibilities exist for the classical correlation subject to these side
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Richard Gill, 22 December 2013, drawn with following R script svg("Bell.svg") plot(0, 0, xlim = c(0, 2), ylim = c(-1, 1), type = "n", axes = FALSE, ylab="Correlation", xlab = "Angle between detectors (in degrees)", mar = c(1, 1, 1, 1))
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added stars marking correlations found in Bell-CHSH experiments xs <- c(1/4, 3/4, 5/4, 7/4) points(xs, -cos(pi*xs), col = "blue", pch = "*", cex = 2) ys <- c(-1/2, 1/2, 1/2, -1/2) points(xs, ys, col = "red", pch = "*", cex =
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plot(0, 0, xlim = c(0, 2), ylim = c(-1, 1), type = "n", axes = FALSE, ylab="", xlab = "", mar = c(1, 1, 1, 1))
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
