Blindly verifying partially unknown entanglement

iScience

Jing-Ling Chen¹  Shao-Ming Fei²  Ming-Xing Luo³ 

[1] Corresponding author;Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, P.R. China;CSNMT Int. Coop. Res. Centre (MoST), The School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, P.R. China;

关键词: Physics;    Quantum theory;    Quantum physics;   

DOI  :  

来源: DOAJ

【 摘 要 】

Summary: Quantum entanglement has shown distinguished features beyond any classical state. Many methods have been presented to verify unknown entanglement with the complete information about the density matrices by quantum state tomography. In this work, we aim to identify unknown entanglement with only partial information of the state space. The witness consists of a generalized Greenberger-Horne-Zeilinger-like paradox expressed by Pauli observables, and a nonlinear entanglement witness expressed by density matrix elements. First, we verify unknown bipartite entanglement and study the robustness of entanglement witnesses against the white noise. Second, we generalize such verification to partially unknown multipartite entangled states, including the Greenberger-Horne-Zeilinger-type and W-type states. Third, we give a quantum-information application related to the quantum zero-knowledge proof. It further provides a useful method in blindly verifying universal quantum computation resources. These results may be interesting in entanglement theories, quantum communication, and quantum networks.

【 授权许可】

Unknown