Physics – Quantum Physics
Scientific paper
1999-04-12
Physics
Quantum Physics
8 pages, 4 figures
Scientific paper
10.1103/PhysRevA.60.473
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.
Hradil Zdenek
Pascazio Saverio
Perina Jan
Rauch Helmut
Rehacek Jaroslav
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