Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality

Abstract

Skew information is a pivotal concept in quantum information, quantum measurement, and quantum metrology. Further studies have lead to the uncertainty relations grounded in metric-adjusted skew information. In this work, we present an in-depth investigation using the methodologies of sampling coordinates of observables and convex functions to refine the uncertainty relations in both the product form of two observables and summation form of multiple observables.

References in corpus (11)

• Metric adjusted skew information
• Conservative Quantum Computing
• Conservation laws, uncertainty relations, and quantum limits of measurements
• Sum uncertainty relations based on Wigner-Yanase skew information
• Tight $N$-observable uncertainty relations and their experimental demonstrations
• Strong unitary uncertainty relations
• Tighter sum uncertainty relations via variance and Wigner-Yanase skew information for N incompatible observables
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• Near-Optimal Variance-Based Uncertainty Relations
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Cited by in corpus (2)

• Enhanced quantum channel uncertainty relations by skew information
• Uncertainty of quantum channels based on symmetrized \r{ho}-absolute variance and modified Wigner-Yanase skew information