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Operational Theory of the Eight-Port Homodyne Detection

Quantum Physics 2007-05-23 v1

Abstract

The eight-port homodyne detection apparatus is analyzed in the framework of the operational theory of quantum measurement. For an arbitrary quantum noise leaking through the unused port of the beam splitter, the positive operator valued measure and the corresponding operational homodyne observables are derived. It is shown that such an eight-port homodyne device can be used to construct the operational quantum trigonometry of an optical field. The quantum trigonometry and the corresponding phase space Wigner functions are derived for a signal field probed by a classical local oscillator and a squeezed vacuum in the unused port.

Keywords

Cite

@article{arxiv.quant-ph/9611036,
  title  = {Operational Theory of the Eight-Port Homodyne Detection},
  author = {Piotr Kochanski and Krzysztof Wodkiewicz},
  journal= {arXiv preprint arXiv:quant-ph/9611036},
  year   = {2007}
}

Comments

18 pages, uses Revtex and epsfig.sty, 4 Encapsulated Postscript figures, submitted to J. Mod. Opt