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Quantum theory of continuous feedback

1994/03/01 by Howard M. Wiseman, H. M. Wiseman · 9 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum Mechanics and Applications

paper · doi:10.1103/physreva.49.2133

openalex publication_date 1994/03/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02

Abstract

A general theory of quantum-limited feedback for continuously monitored systems is presented. Two approaches are used, one based on quantum measurement theory and one on Hamiltonian system-bath interactions. The former gives rise to a stochastic non-Markovian evolution equation for the density operator, and the latter a non-Markovian quantum Langevin equation. In the limit that the time delay in the feedback loop is negligible, a simple deterministic Markovian master equation can be derived from either approach. Two special cases of interest are treated: feedback mediated by optical homodyne detection and self-excited quantum point processes.

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