Pure-state quantum trajectories for general non-Markovian systems do not exist

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Title Pure-state quantum trajectories for general non-Markovian systems do not exist
Author Wiseman, Howard Mark; Gambetta, J. M.
Journal Name Physical Review Letters
Editor George Basbas, Jack Sandweiss, Reinhardt B. Schuhmann, Stanley G. Brown
Year Published 2008
Place of publication United States
Publisher American Physical Society
Abstract Since the first derivation of non-Markovian stochastic Schrödinger equations, their interpretation has been contentious. In a recent Letter [Phys. Rev. Lett. 100, 080401 (2008)], Diósi claimed to prove that they generate “true single system trajectories [conditioned on] continuous measurement.” In this Letter, we show that his proof is fundamentally flawed: the solution to his non-Markovian stochastic Schrödinger equation at any particular time can be interpreted as a conditioned state, but joining up these solutions as a trajectory creates a fiction.
Peer Reviewed Yes
Published Yes
Publisher URI http://prl.aps.org/
Alternative URI http://dx.doi.org/10.1103/PhysRevLett.101.140401
Copyright Statement Copyright 2008 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 101
Page from 140401-1
Page to 140401-4
ISSN 0031-9007
Date Accessioned 2008-11-26
Language en_AU
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science, Environment, Engineering and Technology
Subject PRE2009-Theoretical Physics
URI http://hdl.handle.net/10072/22528
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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