Measuring measurement–disturbance relationships with weak values

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Title Measuring measurement–disturbance relationships with weak values
Author Lund, Austin; Wiseman, Howard Mark
Journal Name New Journal of Physics
Year Published 2010
Place of publication United Kingdom
Publisher IOP Publishing Ltd
Abstract Using formal definitions for the measurement precision epsilon and the disturbance (measurement back-action) η, Ozawa (2003 Phys. Rev. A 67 042105) has shown that Heisenberg's claimed relation between these quantities is false in general. Here, we show that the quantities introduced by Ozawa can be determined experimentally, using no prior knowledge of the measurement under investigation—both quantities correspond to the root-mean-squared difference given by a weak-valued probability distribution. We propose a simple three-qubit experiment that can illustrate the failure of Heisenberg's measurement–disturbance relation and the validity of an alternative relation proposed by Ozawa.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1088/1367-2630/12/9/093011
Copyright Statement Copyright 2010 Institute of Physics Publishing. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 12
Issue Number 9
Page from 093011-1
Page to 093011-11
ISSN 1367-2630
Date Accessioned 2010-09-17
Date Available 2010-10-08T06:56:00Z
Language en_AU
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Quantum Information, Computation and Communication; Quantum Optics
URI http://hdl.handle.net/10072/34471
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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