Volume 113, Number 5, March 2016
|Number of page(s)||6|
|Published online||21 March 2016|
Stronger error disturbance relations for incompatible quantum measurements
Harish-Chandra Research Institute - Chhatnag Road, Jhunsi, Allahabad 211 019, India
Received: 28 December 2015
Accepted: 8 March 2016
We formulate a new error-disturbance relation, which is free from explicit dependence upon variances in observables. This error-disturbance relation shows improvement over the one provided by the Branciard inequality and the Ozawa inequality for some initial states and for a particular class of joint measurements under consideration. We also prove a modified form of Ozawa's error-disturbance relation. The latter relation provides a tighter bound compared to the Ozawa and the Branciard inequalities for a small number of states.
PACS: 03.65.Ta – Foundations of quantum mechanics; measurement theory / 03.65.Ca – Formalism / 03.65.Aa – Quantum systems with finite Hilbert space
© EPLA, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.