dorsal/arxiv
View SchemaTesting of quantum phase in matter wave optics
| Authors | Jaroslav Rehacek, Zdenek Hradil, Michael Zawisky, Saverio Pascazio, Helmut Rauch, Jan Perina |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904047 |
| URL | https://arxiv.org/abs/quant-ph/9904047 |
| DOI | 10.1103/PhysRevA.60.473 |
Abstract
Various phase concepts may be treated as special cases of the maximum likelihood estimation. For example the discrete Fourier estimation that actually coincides with the operational phase of Noh, Fouge`res and Mandel is obtained for continuous Gaussian signals with phase modulated mean.Since signals in quantum theory are discrete, a prediction different from that given by the Gaussian hypothesis should be obtained as the best fit assuming a discrete Poissonian statistics of the signal. Although the Gaussian estimation gives a satisfactory approximation for fitting the phase distribution of almost any state the optimal phase estimation offers in certain cases a measurable better performance. This has been demonstrated in neutron--optical experiment.
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"abstract": "Various phase concepts may be treated as special cases of the maximum\nlikelihood estimation. For example the discrete Fourier estimation that\nactually coincides with the operational phase of Noh, Fouge`res and Mandel is\nobtained for continuous Gaussian signals with phase modulated mean.Since\nsignals in quantum theory are discrete, a prediction different from that given\nby the Gaussian hypothesis should be obtained as the best fit assuming a\ndiscrete Poissonian statistics of the signal. Although the Gaussian estimation\ngives a satisfactory approximation for fitting the phase distribution of almost\nany state the optimal phase estimation offers in certain cases a measurable\nbetter performance. This has been demonstrated in neutron--optical experiment.",
"arxiv_id": "quant-ph/9904047",
"authors": [
"Jaroslav Rehacek",
"Zdenek Hradil",
"Michael Zawisky",
"Saverio Pascazio",
"Helmut Rauch",
"Jan Perina"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.60.473",
"title": "Testing of quantum phase in matter wave optics",
"url": "https://arxiv.org/abs/quant-ph/9904047"
},
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