A note on the measurement of phase space observables with an eight-port homodyne detector

J. Kiukas*, P. Lahti

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (SciVal)

Abstract

It is well known that the Husimi Q-function of the signal field can actually be measured by the eight-port homodyne detection technique, provided that the reference beam (used for homodyne detection) is a very strong coherent field so that it can be treated classically [see e.g. Leonhardt, U.; Paul, H. Phys. Rev. A 1993, 47, R2460-R2463]. Using recent rigorous results on the quantum theory of homodyne detection observables [Kiukas, J.; Lahti, P. J. Mod. Opt., in press (see arXiv:0706.4436v1 [quant-ph])], we show that any phase space observable, and not only the Q-function, can be obtained as a high amplitude limit of the signal observable actually measured by an eight-port homodyne detector. The proof of this fact does not involve any classicality assumption.

Original languageEnglish
Pages (from-to)1891-1898
Number of pages8
JournalJournal of Modern Optics
Volume55
Issue number12
DOIs
Publication statusPublished - 02 Jul 2008
Externally publishedYes

Keywords

  • Eight-port homodyne detector
  • High amplitude limit
  • Phase space observable
  • Positive operator measure

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