Genuine High-Order Einstein-Podolsky-Rosen Steering

Abstract

Einstein-Podolsky-Rosen (EPR) steering demonstrates that two parties share entanglement even if the measurement devices of one party are untrusted. Here, going beyond this bipartite concept, we develop a novel formalism to explore a large class of EPR steering from generic multipartite quantum systems of arbitrarily high dimensionality and degrees of freedom, such as graph states and hyperentangled systems. All of these quantum characteristics of genuine high-order EPR steering can be efficiently certified with few measurement settings in experiments. We faithfully demonstrate for the first time such generality by experimentally showing genuine four-partite EPR steering and applications to universal one-way quantum computing. Our formalism provides a new insight into the intermediate type of genuine multipartite Bell non-locality and potential applications to quantum of untrusted measurement devices.

References in corpus (7)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Multi-party entanglement in graph states
• Topological fault-tolerance in cluster state quantum computation
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• High-speed linear optics quantum computing using active feed-forward
• Realization and characterization of a 2-photon 4-qubit linear cluster state
• Active one-way quantum computation with 2-photon 4-qubit cluster states

Cited by in corpus (11)

• Deterministic distribution of multipartite entanglement and steering in a quantum network by separable states
• Phase control of entanglement and quantum steering in a three-mode optomechanical system
• Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling
• Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
• Creating mirror-mirror quantum correlations in optomechanics
• Quantifying Quantum-Mechanical Processes
• Einstein-Podolsky-Rosen steering and Bell nonlocality of two macroscopic mechanical oscillators in optomechanical systems
• Detecting Tripartite Steering via Quantum Entanglement
• Genuine three qubit Einstein-Podolsky-Rosen steering under decoherence: Revealing hidden genuine steerability via pre-processing
• Revealing Tripartite Quantum Discord with Tripartite Information Diagram
• Manipulating the direction of one-way steering in an optomechanical ring cavity