Institute of Mathematical Statistics Lecture Notes - Monograph Series

Purification of quantum trajectories

Hans Maassen and Burkhard Kümmerer

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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.

Chapter information

Source
Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy, eds., Dynamics & Stochastics: Festschrift in honor of M. S. Keane (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006), 252-261

Dates
First available in Project Euclid: 28 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.lnms/1196285826

Digital Object Identifier
doi:10.1214/074921706000000275

Mathematical Reviews number (MathSciNet)
MR2306206

Zentralblatt MATH identifier
1121.81012

Subjects
Primary: 82C10: Quantum dynamics and nonequilibrium statistical mechanics (general)
Secondary: 60H20: Stochastic integral equations 47N50: Applications in the physical sciences

Keywords
quantum trajectory stochastic Schrödinger equation

Rights
Copyright © 2006, Institute of Mathematical Statistics

Citation

Maassen, Hans; Kümmerer, Burkhard. Purification of quantum trajectories. Dynamics & Stochastics, 252--261, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2006. doi:10.1214/074921706000000275. https://projecteuclid.org/euclid.lnms/1196285826


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