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.

arXiv comment11 pages, 3 figures

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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