Filtering Theory and Quantum Fields.

Abstract

In this paper we describe certain remarkable connections that exist between mathematical developments in quantum field theory (and enclidean field theory) and filtering theory (and in general system theory). Roughly speaking, the Kalman filter is the mathematical analog of a free quantum field (in a precise sense) and the study of non-linear filtering is the analog of the study of interacting quantum fields. Due to lack of space we only sketch this theory in this paper and the details of this work will be presented elsewhere. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1979
Accession Number
ADA071100

Entities

People

  • Sanjoy K. Mitter

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Computer Science
  • Electrical Engineering
  • Engineering
  • Filters
  • Filtration
  • Hilbert Space
  • Insensitive Explosives
  • Kalman Filtering
  • Kalman Filters
  • Linear Filtering
  • Probability
  • Probability Distributions
  • Quantum Field Theory
  • Random Variables
  • Standards
  • White Noise

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Theoretical Analysis.

Technology Areas

  • Quantum Computing
  • Space