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Quantum Information Processing
Published in: Quantum Information Processing 5/2017

01-05-2017

Stronger uncertainty relations with improvable upper and lower bounds

Authors: Jun Zhang, Yang Zhang, Chang-shui Yu

Published in: Quantum Information Processing | Issue 5/2017

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Abstract

The quantum superposition principle is used to establish improved upper and lower bounds for the Maccone–Pati uncertainty inequality, which is based on a “weighted-like” sum of the variances of observables. Our bounds include free parameters that not only guarantee nontrivial bounds but also effectively control the bounds’ tightness. Significantly, these free parameters depend on neither the state nor the observables. A feature of our method is that any nontrivial bound can always be improved. In addition, we generalize both bounds to uncertainty relations with multiple (three or more) observables, maintaining the uncertainty relations’ tightness. Examples are given to illustrate our improved bounds.
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Appendix
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Metadata
Title
Stronger uncertainty relations with improvable upper and lower bounds
Authors
Jun Zhang
Yang Zhang
Chang-shui Yu
Publication date
01-05-2017
Publisher
Springer US
Published in
Quantum Information Processing / Issue 5/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1585-z

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