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Steering Witness and Steering Criterion of Gaussian States
Ruifen Ma1, Taotao Yan1, Dantong Wu1
1Department of Mathematics, Taiyuan University of Science and Technology, Taiyuan 030024, 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 (m+n)-mode Gaussian states. In addition, the conditions for two steering witnesses to be comparable and the optimality of steering witnesses are also discussed.
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