Next Article in Journal
Exponential Energy Decay of Solutions for a Transmission Problem With Viscoelastic Term and Delay
Next Article in Special Issue
Exact Discrete Analogs of Canonical Commutation and Uncertainty Relations
Previous Article in Journal
Morphisms and Order Ideals of Toric Posets
Previous Article in Special Issue
Uncertainty Relations and Possible Experience
Open AccessFeature PaperArticle

Entropic Uncertainty Relations for Successive Generalized Measurements

by Kyunghyun Baek 1 and Wonmin Son 1,2,*
1
Department of Physics, Sogang University, Mapo-gu, Shinsu-dong, Seoul 121-742, Korea
2
Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, UK
*
Author to whom correspondence should be addressed.
Academic Editors: Paul Busch, Takayuki Miyadera and Teiko Heinosaari
Mathematics 2016, 4(2), 41; https://doi.org/10.3390/math4020041
Received: 2 April 2016 / Revised: 24 May 2016 / Accepted: 1 June 2016 / Published: 7 June 2016
(This article belongs to the Special Issue Mathematics of Quantum Uncertainty)
We derive entropic uncertainty relations for successive generalized measurements by using general descriptions of quantum measurement within two distinctive operational scenarios. In the first scenario, by merging two successive measurements into one we consider successive measurement scheme as a method to perform an overall composite measurement. In the second scenario, on the other hand, we consider it as a method to measure a pair of jointly measurable observables by marginalizing over the distribution obtained in this scheme. In the course of this work, we identify that limits on one’s ability to measure with low uncertainty via this scheme come from intrinsic unsharpness of observables obtained in each scenario. In particular, for the Lüders instrument, disturbance caused by the first measurement to the second one gives rise to the unsharpness at least as much as incompatibility of the observables composing successive measurement. View Full-Text
Keywords: entropic uncertainty relations; successive measurements; unsharpness; disturbance entropic uncertainty relations; successive measurements; unsharpness; disturbance
Show Figures

Graphical abstract

MDPI and ACS Style

Baek, K.; Son, W. Entropic Uncertainty Relations for Successive Generalized Measurements. Mathematics 2016, 4, 41.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop