dorsal/arxiv
View SchemaQuantum nonlocality, Bell inequalities and the memory loophole
| Authors | Jonathan Barrett, Daniel Collins, Lucien Hardy, Adrian Kent, Sandu Popescu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205016 |
| URL | https://arxiv.org/abs/quant-ph/0205016 |
| DOI | 10.1103/PhysRevA.66.042111 |
| Journal | Phys. Rev. A 66, 042111 (2002) |
Abstract
In the analysis of experiments designed to reveal violation of Bell-type inequalities, it is usually assumed that any hidden variables associated with the nth particle pair would be independent of measurement choices and outcomes for the first $(n-1)$ pairs. Models which violate this assumption exploit what we call the {\it memory loophole}. We focus on the strongest type of violation, which uses the {\it 2-sided} memory loophole, in which the hidden variables for pair $n$ can depend on the previous measurement choices and outcomes in both wings of the experiment. We show that the 2-sided memory loophole allows a systematic violation of the CHSH inequality when the data are analysed in the standard way, but cannot produce a violation if a CHSH expression depending linearly on the data is used. In the first case, the maximal CHSH violation becomes small as the number of particle pairs tested becomes large. Hence, although in principle the memory loophole implies a slight flaw in existing analyses of Bell experiments, the data still strongly confirm quantum mechanics against local hidden variables. We consider also a related loophole, the {\it simultaneous measurement loophole}, which applies if all measurements on each side are carried out simultaneously. We show that this can increase the probability of violating the linearised CHSH inequality as well as other Bell-type inequalities.
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"abstract": "In the analysis of experiments designed to reveal violation of Bell-type\ninequalities, it is usually assumed that any hidden variables associated with\nthe nth particle pair would be independent of measurement choices and outcomes\nfor the first $(n-1)$ pairs. Models which violate this assumption exploit what\nwe call the {\\it memory loophole}. We focus on the strongest type of violation,\nwhich uses the {\\it 2-sided} memory loophole, in which the hidden variables for\npair $n$ can depend on the previous measurement choices and outcomes in both\nwings of the experiment. We show that the 2-sided memory loophole allows a\nsystematic violation of the CHSH inequality when the data are analysed in the\nstandard way, but cannot produce a violation if a CHSH expression depending\nlinearly on the data is used. In the first case, the maximal CHSH violation\nbecomes small as the number of particle pairs tested becomes large. Hence,\nalthough in principle the memory loophole implies a slight flaw in existing\nanalyses of Bell experiments, the data still strongly confirm quantum mechanics\nagainst local hidden variables.\n We consider also a related loophole, the {\\it simultaneous measurement\nloophole}, which applies if all measurements on each side are carried out\nsimultaneously. We show that this can increase the probability of violating the\nlinearised CHSH inequality as well as other Bell-type inequalities.",
"arxiv_id": "quant-ph/0205016",
"authors": [
"Jonathan Barrett",
"Daniel Collins",
"Lucien Hardy",
"Adrian Kent",
"Sandu Popescu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.042111",
"journal_ref": "Phys. Rev. A 66, 042111 (2002)",
"title": "Quantum nonlocality, Bell inequalities and the memory loophole",
"url": "https://arxiv.org/abs/quant-ph/0205016"
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