dorsal/arxiv
View SchemaCan `unsharp objectification' solve the quantum measurement problem?
| Authors | P. Busch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9802011 |
| URL | https://arxiv.org/abs/quant-ph/9802011 |
| Journal | Int.J.Theor.Phys. 37 (1998) 241-247 |
Abstract
The quantum measurement problem is formulated in the form of an insolubility theorem that states the impossibility of obtaining, for all available object preparations, a mixture of states of the compound object and apparatus system that would represent definite pointer positions. A proof is given that comprises arbitrary object observables, whether sharp or unsharp, and besides sharp pointer observables a certain class of unsharp pointers, namely, those allowing for the property of pointer value definiteness. A recent result of H. Stein is applied to allow for the possibility that a given measurement may not be applicable to all possible object states but only to a subset of them. The question is raised whether the statement of the insolubility theorem remains true for genuinely unsharp observables. This gives rise to a precise notion of unsharp objectification.
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"abstract": "The quantum measurement problem is formulated in the form of an insolubility\ntheorem that states the impossibility of obtaining, for all available object\npreparations, a mixture of states of the compound object and apparatus system\nthat would represent definite pointer positions. A proof is given that\ncomprises arbitrary object observables, whether sharp or unsharp, and besides\nsharp pointer observables a certain class of unsharp pointers, namely, those\nallowing for the property of pointer value definiteness. A recent result of H.\nStein is applied to allow for the possibility that a given measurement may not\nbe applicable to all possible object states but only to a subset of them. The\nquestion is raised whether the statement of the insolubility theorem remains\ntrue for genuinely unsharp observables. This gives rise to a precise notion of\nunsharp objectification.",
"arxiv_id": "quant-ph/9802011",
"authors": [
"P. Busch"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int.J.Theor.Phys. 37 (1998) 241-247",
"title": "Can `unsharp objectification\u0027 solve the quantum measurement problem?",
"url": "https://arxiv.org/abs/quant-ph/9802011"
},
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