Geometric Bell-like inequalities for steering

Abstract

Many of the standard Bell inequalities (e.g., CHSH) are not effective for detection of quantum correlations which allow for steering, because for a wide range of such correlations they are not violated. We present Bell-like inequalities which have lower bounds for non-steering correlations than for local causal models. The inequalities involve all possible measurement settings at each side. We arrive at interesting and elegant conditions for steerability of arbitrary two-qubit states.

6 pages, revised version, a typo is removed

References in corpus (9)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Experimental EPR-Steering of Bell-local States
• Quantifying Einstein-Podolsky-Rosen steering
• EPR Steering Inequalities from Entropic Uncertainty Relations
• One-way Einstein-Podolsky-Rosen Steering
• Fine-grained EPR-steering inequalities
• Experimentally friendly geometrical criteria for entanglement
• All-Versus-Nothing Proof of Einstein-Podolsky-Rosen Steering
• Bell theorem involving all possible local measurements

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• How the relativistic motion affects Einstein-Podolsky-Rosen steering
• Unification of quantum resources in tripartite systems
• Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario
• Experimental certification of steering criterion based on general entropic uncertainty relation
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• Revealing Quantum Advantage in a Quantum Network
• Entanglement Dynamics for Two Spins in an Optical Cavity---Field Interaction Induced Decoherence and Coherence Revival
• Recovering the lost steerability of quantum states within non-Markovian environments by utilizing quantum partially collapsing measurements
• Measurement incompatibility and Channel Steering
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• Detecting Tripartite Steering via Quantum Entanglement
• Hidden Steering Nonlocality in Quantum Networks
• Steering in spin tomographic probability representation
• Some remarks on Bell non-locality and Einstein-Podolsky-Rosen steering of bipartite states
• Role of Steering Inequality In Quantum Key Distribution Protocol
• Experimental demonstration of complementarity relations between quantum steering criteria
• Conditional steering under von-Neumann scenario
• Broadcasting of non-locality