Regular Article

Connecting quantum steering with extractable work in a two-mode Gaussian state

¹ School of Mathematics, Guizhou Normal University, 550001 Guiyang, P.R. China
² Beijing Computational Science Research Center, 100193 Beijing, P.R. China
³ Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, 410081 Changsha, P.R. China

^a e-mail: qz@csrc.ac.cn

Received: 21 September 2019
Received in final form: 9 March 2020
Published online: 9 April 2020

Abstract

Quantum steering is an intermediate-level correlation between Bell nonlocality and quantum entanglement. Motivated by the fact that quantum correlation in working medium plays a nontrivial role in extracting work, this paper explores the relationship between the extractable work and quantum steering of the working medium, which is in a two-mode Gaussian state. Measuring one mode with Gaussian operation will produce a back-action on the other mode, which can be used to extract work. It is found that for two special kinds of quantum states with suitable measurements, there is a simple linear relationship between the extractable work and the quantum steering.