Steering criteria from general entropic uncertainty relations

Abstract

The effect of steering describes a possible action at a distance via measurements but characterizing the quantum states that can be used for this task remains difficult. We provide a method to derive sufficient criteria for steering from entropic uncertainty relations using generalized entropies. We demonstrate that the resulting criteria outperform existing criteria in several scenarios; moreover, they allow one to detect weakly steerable states.

6 pages, 1 figure. Published version

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• The geometry of the Einstein--Podolsky--Rosen correlations
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• Experimental demonstration of robust quantum steering
• Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
• Entropic uncertainty relations from quantum designs
• Entropic uncertainty relations from equiangular tight frames and their applications
• Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
• Uncertainty relations from graph theory
• Entanglement detection by violations of noisy uncertainty relations: A proof of principle
• Experimental certification of steering criterion based on general entropic uncertainty relation
• Experimental observation the Einstein-Podolsky-Rosen Steering based on the detection of entanglement
• The Uncertainty Principle of Quantum Processes
• Einstein-Podolsky-Rosen Steering Criterion and Monogamy Relation via Correlation Matrices in Tripartite Systems
• Uncertainty relations for quantum measurements from generalized equiangular tight frames
• Detecting the genuine multipartite two-way steerability with linear steering inequalities
• Verification of joint measurability using phase-space quasiprobability distributions
• Role of maximally entangled states in the context of linear steering inequalities
• Analysis of Quantum Steering Measures
• Diagnosing steerability of a bipartite state with the nonsteering threshold
• Averaged fidelity-based steering criteria
• Distributing long-distance trust in optomechanics
• Complementarity relations for design-structured POVMs in terms of generalized entropies of order $\alpha \in (0,2)$
• Choice of mutually unbiased bases and outcome labelling affects measurement outcome secrecy
• Parameterized steering criteria via correlation matrices
• Characterizing the Quantum Non-locality by the Mathematics of Magic Square
• A Note on Hierarchy of Quantum Measurement Incompatibilities
• Asymmetric steerability of quantum equilibrium and nonequilibrium steady states through entanglement detection
• Experimental demonstration of complementarity relations between quantum steering criteria
• Witness High-Dimensional Quantum Steering via Majorization Lattice
• Imprecise quantum steering inequalities in tripartite systems