Necessary conditions for steerability of two qubits, from consideration of local operations
arXiv:1906.04693 · doi:10.1103/PhysRevA.101.022326
Abstract
EPR-steering refers to the ability of one observer to convince a distant observer that they share entanglement by making local measurements. Determining which states allow a demonstration of EPR-steering remains an open problem in general. Here, we outline and demonstrate a method of analytically constructing new classes of two-qubit states which are non-steerable by arbitrary projective measurements, from consideration of local operations performed by the steering party on states known to be non-steerable.
arXiv comment7 pages, 3 figures, references added
References in corpus (31)
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Quantum discord for two-qubit X-states
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Information-theoretic aspects of quantum inseparability of mixed states
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Quantum steering: a review with focus on semidefinite programming
- Observation of one-way Einstein-Podolsky-Rosen steering
- Quantifying Einstein-Podolsky-Rosen steering
- One-way Einstein-Podolsky-Rosen Steering
- Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
- Observation of genuine one-way Einstein-Podolsky-Rosen steering
- Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
- Joint measurability of generalized measurements implies classicality
- Quantum Steering Ellipsoids
- One-to-one mapping between steering and joint measurability problems
- Negativity and steering: a stronger Peres conjecture
- Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
- Einstein-Podolsky-Rosen steering and the steering ellipsoid
- Conclusive experimental demonstration of one-way Einstein-Podolsky-Rosen steering
- General method for constructing local-hidden-variable models for entangled quantum states
- Algorithmic construction of local hidden variable models for entangled quantum states
- Necessary and sufficient condition for steerability of two-qubit states by the geometry of steering outcomes
- Entanglement universality of two-qubit X-states
- Optimal Measurements for Tests of EPR-Steering with No Detection Loophole using Two-Qubit Werner States
- The geometry of the Einstein--Podolsky--Rosen correlations
- Non-separability and steerability of two-qubit states from the geometry of steering outcomes
- Algorithmic construction of local models for entangled quantum states: optimization for two-qubit states
- Keyring models: an approach to steerability
Cited by in corpus (6)
- Reliable experimental certification of one-way Einstein-Podolsky-Rosen steering
- Some quantum measurements with three outcomes can reveal nonclassicality where all two-outcome measurements fail to do so
- One-way Einstein-Podolsky-Rosen steering beyond qubits
- Shareability of steering in 2-producible states
- On the power of one pure steered state for EPR-steering with a pair of qubits
- Experimental characterization of the hierarchy of quantum correlations in top quark pairs