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 (2)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Fine-grained EPR-steering inequalities

Cited by in corpus (4)

• Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
• 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
• Some remarks on Bell non-locality and Einstein-Podolsky-Rosen steering of bipartite states