Multipartite steering inequalities based on entropic uncertainty relations

Abstract

We investigate quantum steering for multipartite systems by using entropic uncertainty relations. We introduce entropic steering inequalities whose violation certifies the presence of different classes of multipartite steering. These inequalities witness both steerable states and genuine multipartite steerable states. Furthermore, we study their detection power for several classes of states of a three-qubit system.

3 figures

References in corpus (5)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Entropic uncertainty relations for multiple measurements
• Fine-grained EPR-steering inequalities
• Tight entropic uncertainty relations for systems with dimension three to five

Cited by in corpus (23)

• Quantum Steering
• Improved tripartite uncertainty relation with quantum memory
• Steering criteria from general entropic uncertainty relations
• Tight steering inequalities from generalized entropic uncertainty relations
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Experimental demonstration of robust quantum steering
• Complementarity Relations Between Quantum Steering Criteria
• Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
• Entanglement detection by violations of noisy uncertainty relations: A proof of principle
• Experimental certification of steering criterion based on general entropic uncertainty relation
• The Uncertainty Principle of Quantum Processes
• Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
• Quasi-Fine-Grained Uncertainty Relations
• No nonlocal advantage of quantum coherence beyond quantum instrumentality
• Experimental distillation of tripartite quantum steering with an optimal local filtering operation
• Detecting Tripartite Steering via Quantum Entanglement
• Entanglement of Local Hidden States
• Tight bounds from multiple-observable entropic uncertainty relations
• Genuine three qubit Einstein-Podolsky-Rosen steering under decoherence: Revealing hidden genuine steerability via pre-processing
• Complementarity relations for design-structured POVMs in terms of generalized entropies of order $\alpha \in (0,2)$
• Experimental investigation of majorization uncertainty relations in the high-dimensional systems
• Witness High-Dimensional Quantum Steering via Majorization Lattice
• Multipartite steering verification with imprecise measurements