Geometric Local Hidden State Model for Some Two-qubit States

Abstract

Adopting the geometric description of steering assemblages and local hidden states (LHS) model, we construct the optimal LHS model for some two-qubit states under continuous projective measurements, and obtain a sufficient steering criterion for all two-qubit states. Using the criterion, we show more two-qubit states that are asymmetric in steering scenario under projective measurements. Then we generalize the geometric description into higher dimensional bipartite cases, calculate the steering bound of two-qutrit isotropic states and make discussion on more general cases.

References in corpus (6)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Bloch vectors for qudits
• Einstein-Podolsky-Rosen steering and the steering ellipsoid
• Necessary and sufficient condition for steerability of two-qubit states by the geometry of steering outcomes
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Cited by in corpus (6)

• Quantum Steering
• The geometry of the Einstein--Podolsky--Rosen correlations
• Algorithmic construction of local models for entangled quantum states: optimization for two-qubit states
• Shareability of steering in 2-producible 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