Geometric Steering Criterion for Two-qubit States
arXiv:1710.06691 · doi:10.1103/PhysRevA.97.012130
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.
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Cited by in corpus (11)
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- 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
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- Quantum correlations in composite systems under global unitary operations