Experimental test of the majorization uncertainty relation with mixed states
arXiv:2104.02848 · doi:10.1016/j.physleta.2022.128105
Abstract
The uncertainty relation lies at the heart of quantum theory and behaves as a non-classical constraint on the indeterminacies of incompatible observables in a system. In the literature, many experiments have been devoted to the test of the uncertainty relations which mainly focus on the pure states. In this work we test the novel majorization uncertainty relations of three incompatible observables using a series of mixed states with adjustable mixing degrees, and compare the compactness of various entropy uncertainty relations. The experimental results confirm that for general mixed quantum system, the majorization uncertainty relation tends to be the tightest constraint on uncertainty, and indicate that the entropy uncertainty relation obtained from the majorzation uncertainty relation is the optimal one. Our experimental setup provides an easy means for preparing mixed states, and based on this simple optical elements can be utilized to realize the required quantum states.
arXiv comment19 pages,5 figures
References in corpus (21)
- On the Measurement of Qubits
- On the volume of the set of mixed entangled states
- The Uncertainty Principle in the Presence of Quantum Memory
- Entropic Uncertainty Relations and their Applications
- Universal Uncertainty Relations
- Majorization entropic uncertainty relations
- Strong Majorization Entropic Uncertainty Relations
- Entropic uncertainty relations for multiple measurements
- Improved tripartite uncertainty relation with quantum memory
- An alternative quantum fidelity for mixed states of qudits
- Quantum-memory-assisted entropic uncertainty relations
- Experimental investigation of the stronger uncertainty relations for all incompatible observables
- Experimental Demonstration of Uncertainty Relations for the Triple Components of Angular Momentum
- Uncertainty relations in terms of Tsallis entropy
- The Optimal Uncertainty Relation
- Tight -observable uncertainty relations and their experimental demonstrations
- One-parameter class of uncertainty relations based on entropy power
- Experimental investigation of multi-observable uncertainty relations
- Direct Experimental Test of Forward and Reverse Uncertainty Relations
- Experimental Test of Tight State-Independent Preparation Uncertainty Relations for Qubits
- Experimental investigation of the uncertainty relations with coherent light