Tighter sum uncertainty relations via variance and Wigner-Yanase skew information for N incompatible observables

Abstract

We study the sum uncertainty relations based on variance and skew information for arbitrary finite N quantum mechanical observables. We derive new uncertainty inequalities which improve the exiting results about the related uncertainty relations. Detailed examples are provided to illustrate the advantages of our uncertainty inequalities.

11 pages, 3 figures

References in corpus (6)

• Stronger uncertainty relations for the sum of variances
• Entropic uncertainty relation for mutually unbiased bases
• Rényi entropy uncertainty relation for successive projective measurements
• Heisenberg Uncertainty Relation for Three Canonical Observables
• Variance-based uncertainty relations for incompatible observables
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Cited by in corpus (6)

• Tighter sum uncertainty relations via metric-adjusted skew information
• A note on uncertainty relations of metric-adjusted skew information
• Product and sum uncertainty relations based on metric-adjusted skew information
• Sum uncertainty relations based on $(\alpha ,\beta ,\gamma )$ weighted Wigner-Yanase-Dyson skew information
• Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality
• Approximate quantum error correction, covariance symmetry, and their relation