Institute of Mathematical Statistics Lecture Notes - Monograph Series

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

2012 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series