Issue |
EPL
Volume 113, Number 5, March 2016
|
|
---|---|---|
Article Number | 50002 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/113/50002 | |
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
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