Open Access
VOL. 48 | 2006 Purification of quantum trajectories
Hans Maassen, Burkhard Kümmerer

Editor(s) Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy

IMS Lecture Notes Monogr. Ser., 2006: 252-261 (2006) DOI: 10.1214/074921706000000275


We prove that the quantum trajectory of repeated perfect measurement on a finite quantum system either asymptotically purifies, or hits upon a family of 'dark' subspaces, where the time evolution is unitary.


Published: 1 January 2006
First available in Project Euclid: 28 November 2007

zbMATH: 1121.81012
MathSciNet: MR2306206

Digital Object Identifier: 10.1214/074921706000000275

Primary: 82C10
Secondary: 47N50 , 60H20

Keywords: Quantum trajectory , Stochastic Schrödinger equation

Rights: Copyright © 2006, Institute of Mathematical Statistics

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