Foundations · Michaël PerreaultBell's Theorem and the Mathematical Universe

Foundations

Experimental Tests of Bell's Theorem

Nu­mer­ous ex­per­i­ments have been con­duct­ed to test Bell's in­equal­i­ty. The over­whelm­ing ma­jor­i­ty have con­firmed the pre­dic­tions of quan­tum me­chan­ics and vi­o­lat­ed Bell's in­equal­i­ties.

Typ­i­cal Ex­per­i­men­tal Setup

  • Source: Pro­duces pairs of en­tan­gled par­ti­cles (e.g., pho­tons from para­met­ric down-con­ver­sion, or atoms).
  • De­tec­tors: Alice and Bob each have a de­tec­tor that can mea­sure a prop­er­ty of their par­ti­cle along a chosen axis. The set­tings (axes) can be changed.
  • Random Set­ting Choice: Ide­al­ly, the set­tings 𝐚\mathbf{a} and 𝐛\mathbf{b} are chosen ran­dom­ly and fast enough to pre­vent any light-speed com­mu­ni­ca­tion be­tween the choice of set­ting at one sta­tion and the mea­sure­ment at the other (clos­ing the "lo­cal­i­ty loop­hole").
  • High De­tec­tion Ef­fi­cien­cy: De­tec­tors should be ef­fi­cient enough to ensure that the de­tect­ed pairs are a fair sample of all emit­ted pairs (clos­ing the "de­tec­tion loop­hole" or "fair sam­pling loop­hole").

Key Ex­per­i­ments

  • Freed­man and Clauser (1972): One of the first ex­per­i­ments, using en­tan­gled pho­tons from cal­ci­um atom decay. Their re­sults were con­sis­tent with quan­tum me­chan­ics and vi­o­lat­ed Bell's in­equal­i­ty.
  • Aspect, Grang­i­er, and Roger (1981, 1982): Alain Aspect and his team per­formed a series of in­creas­ing­ly so­phis­ti­cat­ed ex­per­i­ments. Their 1982 ex­per­i­ment used time-vary­ing po­lar­iz­ers, chang­ing set­tings while pho­tons were in flight, ad­dress­ing a po­ten­tial loop­hole re­lat­ed to the set­tings being fixed.
  • Weihs et al. (1998): Gregor Weihs and Anton Zeilinger's group per­formed an ex­per­i­ment with random set­ting choic­es and space­like sep­a­ra­tion of mea­sure­ments, sig­nif­i­cant­ly strength­en­ing the clo­sure of the lo­cal­i­ty loop­hole.
  • Hensen et al. (2015): Bas Hensen and Ronald Hanson's group at Delft Uni­ver­si­ty per­formed the first "loop­hole-free" Bell test, si­mul­ta­ne­ous­ly clos­ing both the lo­cal­i­ty and de­tec­tion loop­holes using en­tan­gled elec­tron spins in di­a­mond ni­tro­gen-va­can­cy cen­ters sep­a­rat­ed by 1.3 kilo­me­ters.

These ex­per­i­ments, and many others, have con­sis­tent­ly shown vi­o­la­tions of Bell's in­equal­i­ties, sup­port­ing the pre­dic­tions of quan­tum me­chan­ics over local re­al­ism.