Self-consistent input-output formulation of quantum feedback

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.062109· OSTI ID:21528817

Yanagisawa, M ^[1]; Hope, J J ^[2]

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1. Department of Engineering, The Australian National University, Canberra, ACT 0200 (Australia)
2. Department of Quantum Science, The Australian National University, Canberra, ACT 0200 (Australia)

A simple method of analyzing quantum feedback circuits is presented. The classical analysis of feedback circuits can be generalized to apply to quantum systems by mapping the field operators of various outputs to other inputs via the standard input-output formalism. Unfortunately, this has led to unphysical results such as the violation of the Heisenberg uncertainty principle for in-loop fields. This paper shows that this general approach can be redeemed by ensuring a self-consistently Hermitian Hamiltonian. The calculations are based on a noncommutative calculus of operator derivatives. A full description of several examples of quantum linear and nonlinear feedback for optical systems is presented.

• OSTI ID: 21528817
• Journal Information: Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.062109; (c) 2010 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
FEEDBACK
FIELD OPERATORS
HAMILTONIANS
INVARIANCE PRINCIPLES
MAPPING
NONLINEAR PROBLEMS
OPTICAL SYSTEMS
QUANTUM STATES
UNCERTAINTY PRINCIPLE
MATHEMATICAL OPERATORS
QUANTUM OPERATORS