Steering Witness and Steering Criterion of Gaussian States |
| |
| Authors: | Ruifen Ma Taotao Yan Dantong Wu Xiaofei Qi |
| |
| Affiliation: | 1.Department of Mathematics, Taiyuan University of Science and Technology, Taiyuan 030024, China; (R.M.); (T.Y.); (D.W.);2.School of Mathematical Science, Shanxi University, Taiyuan 030006, China |
| |
| Abstract: | Quantum steering is an important quantum resource, which is intermediate between entanglement and Bell nonlocality. In this paper, we study steering witnesses for Gaussian states in continuous-variable systems. We give a definition of steering witnesses by covariance matrices of Gaussian states, and then obtain a steering criterion by steering witnesses to detect steerability of any -mode Gaussian states. In addition, the conditions for two steering witnesses to be comparable and the optimality of steering witnesses are also discussed. |
| |
| Keywords: | quantum EPR steering steering witness steering criterion covariance matrix gaussian states |
|
|
