Experimental investigation of multi-observable uncertainty relations

Abstract

The uncertainty relation is a distinguishing feature of quantum theory, characterizing the incompatibility of noncommuting observables in the preparation of quantum states. Recently, many uncertainty relations were proposed with improved lower bounds and were deemed capable of incorporating multiple observables. Here we report an experimental verification of seven uncertainty relations of this type with single-photon measurements. The results, while confirming these uncertainty relations, show as well the relative stringency of various uncertainty lower bounds.

arXiv commentslightly extended. To appear in PRA

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Cited by in corpus (11)

• Improved tripartite uncertainty relation with quantum memory
• Optimized entropic uncertainty relations for multiple measurements
• Holevo Bound of Entropic Uncertainty in Schwarzschild Spacetime
• Experimental investigation of entropic uncertainty relations and coherence uncertainty relations
• Tight $N$-observable uncertainty relations and their experimental demonstrations
• State independent uncertainty relations from eigenvalue minimization
• Complete Optimal Convex Approximations of Qubit States under $B_2$ Distance
• Experimental investigation of the uncertainty relations with coherent light
• Experimental test of the majorization uncertainty relation with mixed states
• Stronger sum uncertainty relations for non-Hermitian operators
• Local sum uncertainty relations for angular momentum operators of bipartite permutation symmetric systems