Stability, gain, and robustness in quantum feedback networks

Journal Article · Mon May 15 00:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20787297

D'Helon, C; James, M R ^[1]

---

1. Department of Engineering, Australian National University, Canberra, ACT 0200 (Australia)

In this paper we are concerned with the problem of stability for quantum feedback networks. We demonstrate in the context of quantum optics how stability of quantum feedback networks can be guaranteed using only simple gain inequalities for network components and algebraic relationships determined by the network. Quantum feedback networks are shown to be stable if the loop gain is less than one--this is an extension of the famous small gain theorem of classical control theory. We illustrate the simplicity and power of the small gain approach with applications to important problems of robust stability and robust stabilization.

• OSTI ID: 20787297
• Journal Information: Physical Review. A, Vol. 73, Issue 5; Other Information: DOI: 10.1103/PhysRevA.73.053803; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CONTROL
CONTROL THEORY
FEEDBACK
GAIN
NEURAL NETWORKS
OPTICS
QUANTUM MECHANICS
STABILITY
STABILIZATION