Purification of quantum trajectories
Hans Maassen, Burkhard Kümmerer
Abstract
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.
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Primary Subjects: 82C10
Secondary Subjects: 60H20, 47N50
Keywords: quantum trajectory; stochastic Schrödinger equation
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196285826
Mathematical Reviews (MathSciNet):
MR2306206
Digital Object Identifier: doi:10.1214/074921706000000275
Institute of Mathematical Statistics Lecture Notes - Monograph Series