Geometric Steering Criterion for Two-qubit States
Quantum Physics
2018-11-19 v4
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.
Cite
@article{arxiv.1710.06691,
title = {Geometric Steering Criterion for Two-qubit States},
author = {Bai-Chu Yu and Zhih-Ahn Jia and Yu-Chun Wu and Guang-Can Guo},
journal= {arXiv preprint arXiv:1710.06691},
year = {2018}
}