Uncertainty relations in the product form

Abstract

We study the uncertainty relation in the product form of variances and obtain some new uncertainty relations with weight, which are shown to be tighter than those derived from the Cauchy Schwarz inequality.

arXiv comment6 pages,1 figure

References in corpus (18)

• Separability of Mixed States: Necessary and Sufficient Conditions
• Violation of local uncertainty relations as a signature of entanglement
• Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information
• Majorization entropic uncertainty relations
• Strong Majorization Entropic Uncertainty Relations
• Quantum Coherence Sets The Quantum Speed Limit For Mixed States
• Quantum Speed Limit For Mixed States Using Experimentally Realizable Metric
• Uncertainty Relations for Angular Momentum
• Experimental investigation of the stronger uncertainty relations for all incompatible observables
• Majorization approach to entropic uncertainty relations for coarse-grained observables
• Tighter Uncertainty and Reverse Uncertainty Relations
• Experimental Demonstration of Uncertainty Relations for the Triple Components of Angular Momentum
• Strong entropic uncertainty relations for multiple measurements
• Tight state-independent uncertainty relations for qubits
• Sum uncertainty relations based on Wigner-Yanase skew information
• Weighted Uncertainty Relations
• Variance-based uncertainty relations for incompatible observables
• Implications and applications of the variance-based uncertainty equalities