Geometric Steering Criterion for Two-qubit States

Abstract

According to the geometric characterization of measurement assemblages and local hidden state (LHS) models, we propose a steering criterion which is both necessary and sufficient for two-qubit states under arbitrary measurement sets. A quantity is introduced to describe the required local resources to reconstruct a measurement assemblage for two-qubit states. We show that the quantity can be regarded as a quantification of steerability and be used to find out optimal LHS models. Finally we propose a method to generate unsteerable states, and construct some two-qubit states which are entangled but unsteerable under all projective measurements.

References in corpus (4)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Einstein-Podolsky-Rosen steering and the steering ellipsoid
• Necessary and sufficient condition for steerability of two-qubit states by the geometry of steering outcomes

Cited by in corpus (11)

• Quantum Steering
• Quantum discord and steering in top quarks at the LHC
• The geometry of the Einstein--Podolsky--Rosen correlations
• Constraint relation between steerability and concurrence for two-qubit states
• Shareability of steering in 2-producible states
• Geometric Local Hidden State Model for Some Two-qubit States
• On the power of one pure steered state for EPR-steering with a pair of qubits
• Preparation of quantum correlations assisted by a steering Maxwell demon
• Asymmetric steerability of quantum equilibrium and nonequilibrium steady states through entanglement detection
• Necessary and sufficient criterion of steering for two-qubit T states
• Quantum correlations in composite systems under global unitary operations