Quantum Cloning of Steering
Dian Zhu1 , Wei-Min Shang2 , Fu-Lin Zhang1* , and Jing-Ling Chen2*
1 Department of Physics, School of Science, Tianjin University, Tianjin 300072, China2 Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China
Abstract ：Quantum steering in a global state allows an observer to remotely steer a subsystem into different ensembles by performing different local measurements on the other part. We show that, in general, this property cannot be perfectly cloned by any joint operation between a steered subsystem and a third system. Perfect cloning is viable if and only if the initial state is of zero discord. We also investigate the process of cloning the steered qubit of a Bell state using a universal cloning machine. Einstein–Podolsky–Rosen (EPR) steering, which is a type of quantum correlation existing in the states without a local-hidden-state model, is observed in the two copy subsystems. This contradicts the conclusion of no-cloning of quantum steering (EPR steering) [C. Y. Chiu et al. , npj Quantum Inf. 2 , 16020 (2016) ] based on a mutual information criterion for EPR steering.
收稿日期: 2022-04-14
Editors' Suggestion
出版日期: 2022-06-17
:
03.65.Ud
(Entanglement and quantum nonlocality)
03.67.Dd
(Quantum cryptography and communication security)
03.67.-a
(Quantum information)
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2022, Vol. 39 
