General framework for the behaviour of continuously observed open quantum systems

2002/01/14 by Ole E. Barndorff–Nielsen, Ole E. Barndorff-Nielsen, Elena R. Loubenets
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Open quantum system #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dynamics #Quantum mechanics #Quantum operation #Quantum probability #Quantum process #Statistical physics #Theoretical computer science #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/0305-4470/35/3/308

published as J. Phys. A: Math. Gen. 35 (2002), 565-588 · 30 pages, no figures

openalex publication_date 2002/01/14 · arxiv created 2002/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We develop the general quantum stochastic approach for the description of quantum measurements continuous in time. The framework that we introduce encompasses the various particular models for continuous-time measurements considered previously in the physical and the mathematical literature.

Citations

• Quantum continual measurements and a posteriori collapse on CCR
• Quantum Communication between Atomic Ensembles Using Coherent Light
• Linear quantum state diffusion for non-Markovian open quantum systems
• Quantum stochastic calculus and quantum nonlinear filtering
• Linear stochastic wave equations for continuously measured quantum systems
• Classical interventions in quantum systems. I. The measuring process
• Open System Dynamics with Non-Markovian Quantum Trajectories
• Unconditional Quantum Teleportation