• DocumentCode
    910064
  • Title

    The minimum variance of estimates in quantum signal detection

  • Author

    Helstrom, Carl W.

  • Volume
    14
  • Issue
    2
  • fYear
    1968
  • fDate
    3/1/1968 12:00:00 AM
  • Firstpage
    234
  • Lastpage
    242
  • Abstract
    A quantum-mechanical form of the Cramér-Rao inequality is derived, setting a lower bound to the variance of an unbiased estimate of a parameter of a density operator. It is applied to the estimates of parameters such as amplitude, arrival time, and carrier frequency of a coherent signal as picked up by an ideal receiver in the presence of thermal noise. The estimation of parameters of a noise-like signal is also treated.
  • Keywords
    Quantum estimation; Frequency estimation; Information theory; Laser radar; Optical noise; Optical receivers; Parameter estimation; Physics; Quantum mechanics; Signal detection; Signal processing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1968.1054108
  • Filename
    1054108