Adaptive Phase Measurements: Going Beyond the Marginal Q Distribution

  • H. M. Wiseman
Conference paper

Abstract

It is now generally accepted that there is a unique well-defined quantum probability distribution for the phase of an arbitrary state of a single mode of the electromagnetic field, which can be known as the canonical phase distribution1:
$$ {P_{canonical}}\left( \phi \right) = Tr\left[ {\rho {{\hat F}_{canonical}}\left( \phi \right)} \right].{\hat F_{canonical}}\left( \phi \right) = \frac{1}{{2\pi }}\left| \phi \right\rangle \langle \phi |.\left| \phi \right\rangle = \sum\limits_{n = 0}^\infty {{e^{in\phi }}} \left| \phi \right\rangle $$
(1)
.

Keywords

Coherent State Phase Measurement Arbitrary State Quantum Trajectory Linear Quantum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    U. Leonhardt, J.A. Vaccora, H. Böhmer, and H. Paul, Canonical and measured phase distributions, Phys. Rev. A 51: 84 (1995).CrossRefGoogle Scholar
  2. 2.
    W.P. Schleich and S.M. Barnett (eds.), Physica Scripta T48 (1993)Google Scholar
  3. 3.
    W.P. Schleich, D.T. Pegg, in this volume.Google Scholar
  4. 4.
    P. Goetsch and R. Graham, Linear stochastic wave equations for continuously monitored systems, Phys. Rev. A 50: 5242 (1994).CrossRefGoogle Scholar
  5. 5.
    H.M. Wiseman, Adaptive phase measurements: going beyond the marginal Q distribution, Phys. Rev. Lett. submitted (1995)Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • H. M. Wiseman
    • 1
  1. 1.Physics DepartmentThe University of AucklandAucklandNew Zealand

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