Detection of a Coherent Quantum Signal in Thermal Noise.

Abstract

Methods are presented for calculating the minimum attainable probability of error in detecting a coherent quantum signal received amid thermal noise in the limits of low and high signal-to-noise ratio. In the latter limit, quantum-mechanical perturbation theory is applied to solving the detection operator equation approximately. Graphic results are furnished for binary signals transmitted with equal prior probabilities. Previous work on this problem is thus extended to a broader range of signal and noise strengths. The results are applied to the detection of antipodal two-photon-coherent-state signals. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA067660

Entities

People

  • C. W. Helstrom
  • L. B. Stotts

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Background Noise
  • Communication Systems
  • Detection
  • Detectors
  • Eigenvalues
  • Eigenvectors
  • Electromagnetic Fields
  • Equations
  • Hilbert Space
  • Military Research
  • Noise
  • Optical Communications
  • Perturbation Theory
  • Physical Properties
  • Probability
  • Quantum Mechanics
  • Stochastic Processes

Fields of Study

  • Engineering
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Radio communications and signal processing.
  • Theoretical Analysis.

Technology Areas

  • Quantum Computing