dorsal/arxiv
View SchemaMaximal Accuracy and Minimal Disturbance in the Arthurs-Kelly Simultaneous Measurement Process
| Authors | D. M. Appleby |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803047 |
| URL | https://arxiv.org/abs/quant-ph/9803047 |
| DOI | 10.1088/0305-4470/31/30/009 |
| Journal | J.Phys.A31:6419-6436,1998 |
Abstract
The accuracy of the Arthurs-Kelly model of a simultaneous measurement of position and momentum is analysed using concepts developed by Braginsky and Khalili in the context of measurements of a single quantum observable. A distinction is made between the errors of retrodiction and prediction. It is shown that the distribution of measured values coincides with the initial state Husimi function when the retrodictive accuracy is maximised, and that it is related to the final state anti-Husimi function (the P representation of quantum optics) when the predictive accuracy is maximised. The disturbance of the system by the measurement is also discussed. A class of minimally disturbing measurements is characterised. It is shown that the distribution of measured values then coincides with one of the smoothed Wigner functions described by Cartwright.
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"abstract": "The accuracy of the Arthurs-Kelly model of a simultaneous measurement of\nposition and momentum is analysed using concepts developed by Braginsky and\nKhalili in the context of measurements of a single quantum observable. A\ndistinction is made between the errors of retrodiction and prediction. It is\nshown that the distribution of measured values coincides with the initial state\nHusimi function when the retrodictive accuracy is maximised, and that it is\nrelated to the final state anti-Husimi function (the P representation of\nquantum optics) when the predictive accuracy is maximised. The disturbance of\nthe system by the measurement is also discussed. A class of minimally\ndisturbing measurements is characterised. It is shown that the distribution of\nmeasured values then coincides with one of the smoothed Wigner functions\ndescribed by Cartwright.",
"arxiv_id": "quant-ph/9803047",
"authors": [
"D. M. Appleby"
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"doi": "10.1088/0305-4470/31/30/009",
"journal_ref": "J.Phys.A31:6419-6436,1998",
"title": "Maximal Accuracy and Minimal Disturbance in the Arthurs-Kelly Simultaneous Measurement Process",
"url": "https://arxiv.org/abs/quant-ph/9803047"
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