dorsal/arxiv
View SchemaContextuality of Approximate Measurements
| Authors | D. M. Appleby |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005010 |
| URL | https://arxiv.org/abs/quant-ph/0005010 |
Abstract
The claim of Meyer, Kent and Clifton (MKC) that finite precision measurement nullifies the Kochen-Specker theorem is criticised. It is argued that, although MKC have nullified the Kochen-Specker theorem strictly so-called, there are other, related propositions which are not nullified. The argument given is an elaboration of some of Mermin's critical remarks. Although MKC allow for the fact that the observables to be measured cannot be precisely specified, they continue to assume that the observables which are actually measured are strictly commuting. As Mermin points out, this assumption is unjustified. Consequently, the analysis of MKC is incomplete. To make it complete one needs to investigate the predictions their models make regarding approximate joint measurements of non-commuting observables. Such an investigation is carried out, using methods previously developed in connection with approximate joint measurements of position and momentum. It is shown that a form of contextuality then re-emerges.
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"abstract": "The claim of Meyer, Kent and Clifton (MKC) that finite precision measurement\nnullifies the Kochen-Specker theorem is criticised. It is argued that, although\nMKC have nullified the Kochen-Specker theorem strictly so-called, there are\nother, related propositions which are not nullified. The argument given is an\nelaboration of some of Mermin\u0027s critical remarks. Although MKC allow for the\nfact that the observables to be measured cannot be precisely specified, they\ncontinue to assume that the observables which are actually measured are\nstrictly commuting. As Mermin points out, this assumption is unjustified.\nConsequently, the analysis of MKC is incomplete. To make it complete one needs\nto investigate the predictions their models make regarding approximate joint\nmeasurements of non-commuting observables. Such an investigation is carried\nout, using methods previously developed in connection with approximate joint\nmeasurements of position and momentum. It is shown that a form of contextuality\nthen re-emerges.",
"arxiv_id": "quant-ph/0005010",
"authors": [
"D. M. Appleby"
],
"categories": [
"quant-ph"
],
"title": "Contextuality of Approximate Measurements",
"url": "https://arxiv.org/abs/quant-ph/0005010"
},
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