Quantum Linear Systems Theory

Abstract

Classical linear systems theory has a history going back some 50 years, to the birth of modern control theory with Kalman's foundational work on filtering and LQG optimal control. However, there are new imperatives arising in emerging quantum technologies that demand new concepts and tools from control theory. Based on initial work on quantum H-infinity and LQG control, and recent experimental confirmation, this project seeks to develop the fundamental principles and tools of linear systems theory that take into account the special features of quantum mechanics. The new quantum linear systems theory will provide the framework for investigating the fundamental limitations and opportunities provided by coherent quantum feedback, which need not necessarily involve measurement. Particular emphasis will be given to the investigation of coherent optimal LQG and H-infinity design methods, and the formulation and solution of entanglement enhancement problems using these tools.

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Document Details

Document Type
Technical Report
Publication Date
Feb 15, 2013
Accession Number
ADA578097

Entities

People

  • Ian Petersen
  • Matthew R. James

Organizations

  • Australian National University

Tags

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Engineering
  • Feedback
  • Filtration
  • Frequency
  • Information Processing
  • Information Systems
  • Linear Systems
  • Measurement
  • Quantum Information
  • Quantum Mechanics
  • Quantum Memories
  • Quantum Noise
  • Quantum Optics
  • Students

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.

Technology Areas

  • Quantum Computing