dorsal/arxiv
View SchemaSimultaneous Measurement of Non-Commuting Observables
| Authors | G. Aquino, B. Mehmani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702013 |
| URL | https://arxiv.org/abs/quant-ph/0702013 |
| DOI | 10.1142/9789812771186_0009 |
Abstract
It is shown that the full unknown state of a spin-1/2 system, S, which, within Born's statistical interpretation, is meant as the state of an ensamble of identically prepared systems, can be determined with a simultaneous measurement with the help of an "assistant" system A whose initial state is known. The idea is to let S and A interact with each other in a known way during a proper interaction time, to measure simultaneously two observables, one of S and one of A and their correlation. One thus determines the three unknown components of the polarization vector of S by means of repeated experiments using a unique setting. In this way one can measure simultaneously all the non-commutative observables of S, which might seem prohibited in quantum mechanics.
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"abstract": "It is shown that the full unknown state of a spin-1/2 system, S, which,\nwithin Born\u0027s statistical interpretation, is meant as the state of an ensamble\nof identically prepared systems, can be determined with a simultaneous\nmeasurement with the help of an \"assistant\" system A whose initial state is\nknown. The idea is to let S and A interact with each other in a known way\nduring a proper interaction time, to measure simultaneously two observables,\none of S and one of A and their correlation.\n One thus determines the three unknown components of the polarization vector\nof S by means of repeated experiments using a unique setting. In this way one\ncan measure simultaneously all the non-commutative observables of S, which\nmight seem prohibited in quantum mechanics.",
"arxiv_id": "quant-ph/0702013",
"authors": [
"G. Aquino",
"B. Mehmani"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/9789812771186_0009",
"title": "Simultaneous Measurement of Non-Commuting Observables",
"url": "https://arxiv.org/abs/quant-ph/0702013"
},
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