Necessary conditions for steerability of two qubits from consideration of local operations

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:1906.04693v2 [quant-ph]

One-way Einstein-Podolsky-Rosen steering beyond qubits

“…Further, a family of twoparameter mixed states that exhibit one-way steering are characterized [23]. Recently, sufficient conditions for certifying one-way steering of two-qubit system have also been further investigated [24,25].…”

One-way Einstein-Podolsky-Rosen steering beyond qubits

“…Further, a family of two-parameter mixed states that exhibit one-way steering are characterized [22]. Recently, sufficient conditions for certifying one-way steering of two-qubit system has also been investigated [23,24].…”

Reliable experimental certification of one-way Einstein-Podolsky-Rosen steering

“…As of nowadays, quantum steering [5][6][7][8][9][10][11][12][13][14][15][16] is the last member in the family of three types of quantum correlations; the other two are entanglement [17,18] and Bell nonlocality [19][20][21]. Among these three nonlocalities, steering is rather special in that its definition possesses inherent asymmetry [22][23][24][25][26][27][28][29]. Namely, in an entangled system, it is possible that one subsystem is able to steer the other yet the reverse is not possible.…”