Variance-based uncertainty relations for incompatible observables

Abstract

We formulate uncertainty relations for arbitrary finite number of incompatible observables. Based on the sum of variances of the observables, both Heisenberg-type and Schrödinger-type uncertainty relations are provided. These new lower bounds are stronger in most of the cases than the ones derived from some existing inequalities. Detailed examples are presented.

11 pages, 3 figures

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• Experimental investigation of multi-observable uncertainty relations
• Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information
• Tighter sum uncertainty relations via variance and Wigner-Yanase skew information for N incompatible observables
• State-independent Uncertainty Relations and Entanglement Detection
• Uncertainty and complementarity relations based on generalized skew information
• Uncertainty relations in terms of the Gini index for finite quantum systems
• Uncertainty from the Aharonov-Vaidman Identity
• Average of uncertainty-product for bounded observables
• Parameterized Multi-observable Sum Uncertainty Relations
• Stronger sum uncertainty relations for non-Hermitian operators
• Quantum Uncertainty and Entropy
• Uncertainty relations in the product form