dorsal/arxiv
View SchemaRetrodictively Optimal Localisations in Phase Space
| Authors | D. M. Appleby |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805028 |
| URL | https://arxiv.org/abs/quant-ph/9805028 |
| DOI | 10.1080/09500349908231306 |
| Journal | J.Mod.Opt. 46(1999) 813-823 |
Abstract
In a previous paper it was shown that the distribution of measured values for a retrodictively optimal simultaneous measurement of position and momentum is always given by the initial state Husimi function. This result is now generalised to retrodictively optimal simultaneous measurements of an arbitrary pair of rotated quadratures x_theta1 and x_theta2. It is shown, that given any such measurement, it is possible to find another such measurement, informationally equivalent to the first, for which the axes defined by the two quadratures are perpendicular. It is further shown that the distribution of measured values for such a meaurement belongs to the class of generalised Husimi functions most recently discussed by Wuensche and Buzek. The class consists of the subset of Wodkiewicz's operational probability distributions for which the filter reference state is a squeezed vaccuum state.
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"abstract": "In a previous paper it was shown that the distribution of measured values for\na retrodictively optimal simultaneous measurement of position and momentum is\nalways given by the initial state Husimi function. This result is now\ngeneralised to retrodictively optimal simultaneous measurements of an arbitrary\npair of rotated quadratures x_theta1 and x_theta2. It is shown, that given any\nsuch measurement, it is possible to find another such measurement,\ninformationally equivalent to the first, for which the axes defined by the two\nquadratures are perpendicular. It is further shown that the distribution of\nmeasured values for such a meaurement belongs to the class of generalised\nHusimi functions most recently discussed by Wuensche and Buzek. The class\nconsists of the subset of Wodkiewicz\u0027s operational probability distributions\nfor which the filter reference state is a squeezed vaccuum state.",
"arxiv_id": "quant-ph/9805028",
"authors": [
"D. M. Appleby"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500349908231306",
"journal_ref": "J.Mod.Opt. 46(1999) 813-823",
"title": "Retrodictively Optimal Localisations in Phase Space",
"url": "https://arxiv.org/abs/quant-ph/9805028"
},
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