Optimal Pointers for Joint Measurement of σx and σz via Homodyne Detection
We study a model of a qubit in interaction with the electromagnetic field. By means of homodyne detection, the field-quadrature At+A ∗ t is observed continuously in time. Due to the interaction, information about the initial state of the qubit is transferred into the field, thus influencing the homo...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.252.8934 2023-05-15T18:32:38+02:00 Optimal Pointers for Joint Measurement of σx and σz via Homodyne Detection Bas Janssens Luc Bouten The Pennsylvania State University CiteSeerX Archives 2006 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.8934 http://arxiv.org/pdf/quant-ph/0510086v1.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.8934 http://arxiv.org/pdf/quant-ph/0510086v1.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://arxiv.org/pdf/quant-ph/0510086v1.pdf text 2006 ftciteseerx 2016-01-07T19:50:26Z We study a model of a qubit in interaction with the electromagnetic field. By means of homodyne detection, the field-quadrature At+A ∗ t is observed continuously in time. Due to the interaction, information about the initial state of the qubit is transferred into the field, thus influencing the homodyne measurement results. We construct random variables (pointers) on the probability space of homodyne measurement outcomes having distributions close to the initial distributions of σx and σz. Using variational calculus, we find the pointers that are optimal. These optimal pointers are very close to hitting the bound imposed by Heisenberg’s uncertainty relation on joint measurement of two non-commuting observables. We close the paper by giving the probability densities of the pointers. 1 Text The Pointers Unknown |
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English |
description |
We study a model of a qubit in interaction with the electromagnetic field. By means of homodyne detection, the field-quadrature At+A ∗ t is observed continuously in time. Due to the interaction, information about the initial state of the qubit is transferred into the field, thus influencing the homodyne measurement results. We construct random variables (pointers) on the probability space of homodyne measurement outcomes having distributions close to the initial distributions of σx and σz. Using variational calculus, we find the pointers that are optimal. These optimal pointers are very close to hitting the bound imposed by Heisenberg’s uncertainty relation on joint measurement of two non-commuting observables. We close the paper by giving the probability densities of the pointers. 1 |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Bas Janssens Luc Bouten |
spellingShingle |
Bas Janssens Luc Bouten Optimal Pointers for Joint Measurement of σx and σz via Homodyne Detection |
author_facet |
Bas Janssens Luc Bouten |
author_sort |
Bas Janssens |
title |
Optimal Pointers for Joint Measurement of σx and σz via Homodyne Detection |
title_short |
Optimal Pointers for Joint Measurement of σx and σz via Homodyne Detection |
title_full |
Optimal Pointers for Joint Measurement of σx and σz via Homodyne Detection |
title_fullStr |
Optimal Pointers for Joint Measurement of σx and σz via Homodyne Detection |
title_full_unstemmed |
Optimal Pointers for Joint Measurement of σx and σz via Homodyne Detection |
title_sort |
optimal pointers for joint measurement of σx and σz via homodyne detection |
publishDate |
2006 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.8934 http://arxiv.org/pdf/quant-ph/0510086v1.pdf |
genre |
The Pointers |
genre_facet |
The Pointers |
op_source |
http://arxiv.org/pdf/quant-ph/0510086v1.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.8934 http://arxiv.org/pdf/quant-ph/0510086v1.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766216839611809792 |