Constraint relation between steerability and concurrence for two-qubit states
Abstract
Entanglement and steering are used to describe quantum inseparabilities. Steerable states form a strict subset of entangled states. A natural question arises concerning how much territory steerability occupies entanglement for a general two-qubit entangled state. In this work, we investigate the constraint relation between steerability and concurrence by using two kinds of evolutionary states and randomly generated two-qubit states. By combining the theoretical and numerical proofs, we obtain the upper and lower boundaries of steerability. And the lower boundary can be used as a sufficient criterion for steering detection. Futhermore, we consider a special kind of mixed state transformed by performing an arbitrary unitary operation on Werner-like state, and propose a sufficient steering criterion described by concurrence and purity.
Cite
@article{arxiv.2007.10808,
title = {Constraint relation between steerability and concurrence for two-qubit states},
author = {Xiao-Gang Fan and Huan Yang and Fei Ming and Zhi-Yong Ding and Dong Wang and Liu Ye},
journal= {arXiv preprint arXiv:2007.10808},
year = {2021}
}
Comments
6 pages, 3 figures. arXiv admin note: text overlap with arXiv:1909.00346