Retrodiction for coherent communication with homodyne or heterodyne detection

O. Jedrkiewicz, R. Loudon, J. Jeffers

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Previous work on the retrodictive theory of direct detection is extended to cover the homodyne detection of coherent optical signal states |alpha > and |-alpha >. The retrodictive input state probabilities are obtained by the application of Bayes' theorem to the corresponding predictive distributions, based on the probability operator measure (POM) elements for the homodyne process. Results are derived for the retrodictive information on the complex amplitude of the signal field obtainable from the difference photocount statistics of both 4-port and 8-port balanced homodyne detection schemes. The local oscillator is usually assumed much stronger than the signal but the case of equal strengths in 4-port detection is also considered. The calculated probability distributions and error rates are illustrated numerically for values of signal and local oscillator strengths that extend from the classical to the quantum regimes.

LanguageEnglish
Pages129-140
Number of pages12
JournalEuropean Physical Journal D: Atomic, Molecular, Optical and Plasma Physics
Volume39
Issue number1
DOIs
Publication statusPublished - Jul 2005

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communication
Bayes theorem
oscillator strengths
optical communication
oscillators
statistics
operators

Keywords

  • optical communication
  • quantum cryptography
  • statistics

Cite this

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abstract = "Previous work on the retrodictive theory of direct detection is extended to cover the homodyne detection of coherent optical signal states |alpha > and |-alpha >. The retrodictive input state probabilities are obtained by the application of Bayes' theorem to the corresponding predictive distributions, based on the probability operator measure (POM) elements for the homodyne process. Results are derived for the retrodictive information on the complex amplitude of the signal field obtainable from the difference photocount statistics of both 4-port and 8-port balanced homodyne detection schemes. The local oscillator is usually assumed much stronger than the signal but the case of equal strengths in 4-port detection is also considered. The calculated probability distributions and error rates are illustrated numerically for values of signal and local oscillator strengths that extend from the classical to the quantum regimes.",
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Retrodiction for coherent communication with homodyne or heterodyne detection. / Jedrkiewicz, O.; Loudon, R.; Jeffers, J.

In: European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, Vol. 39, No. 1, 07.2005, p. 129-140.

Research output: Contribution to journalArticle

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AU - Loudon, R.

AU - Jeffers, J.

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