File:Bell.svg
Original file (SVG file, nominally 630 × 540 pixels, file size: 55 KB)
Captions
Summary
[edit]DescriptionBell.svg |
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 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) plot(0, 0, xlim = c(0, 2), ylim = c(-1, 1), type = "n", axes = FALSE, ylab="", xlab = "", mar = c(1, 1, 1, 1)) x <- seq(from = 0, to = 2, length = 181) lines(x, -cos(pi*x), col = "blue", lwd = 2) lines(c(0, 1, 2), c(-1, 1, -1), col = "red", lwd = 2) lines(c(0, 2, 2, 0,0), c(-1, -1, 1, 1, -1)) abline(h=0) legend(0.05, 0.95, legend = c("Quantum", "Classical"), lwd = c(2, 2), col = c("blue", "red")) text(c(0, 1/2, 1, 3/2, 2), -0.1, labels = c(0,90, 180, 270, 360), cex = 1.5 ) text(-0.05, c(-1, 0, 1), c(-1, 0, 1), cex=1.5) text(-0.2, 0, "Correlation", srt = 90, cex = 1.5, pos = 1, xpd = NA) text( 1.0, -1.1, "Angle between detectors (in degrees)", cex = 1.5, pos = 1, xpd = NA) graphics.off(); |
Source | Richard Gill, 22 December 2013, drawn with R |
Author |
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Original upload log
[edit]Date/Time | Dimensions | User | Comment |
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2013-12-23 09:08:43 | 630× 540× | Gill110951 | 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 = 2) |
2013-12-22 17:48:29 | 630× 540× | Gill110951 | improved size and placement of text |
2013-12-22 17:27:28 | 630× 630× | Gill110951 | 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)) x... |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 06:13, 31 December 2016 | 630 × 540 (55 KB) | FastilyClone (talk | contribs) | Transferred from en.wikipedia (MTC!) |
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Width | 504pt |
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Height | 432pt |