Blindly verifying partially unknown entanglement

Luo，Ming Xing1,5; Fei，Shao Ming2,4; Chen，Jing Ling3

2022-03-18

10.1016/j.isci.2022.103972

iScience   影响因子和分区

2589-0042

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.

Physics Quantum physics Quantum theory

英语

通讯

2-s2.0-85125867217

Scopus

1.CSNMT Int. Coop. Res. Centre (MoST),The School of Information Science and Technology,Southwest Jiaotong University,Chengdu,610031,China
2.School of Mathematical Sciences,Capital Normal University,Beijing,100048,China
3.Theoretical Physics Division,Chern Institute of Mathematics,Nankai University,Tianjin,300071,China
4.Max-Planck-Institute for Mathematics in the Sciences,Leipzig,04103,Germany
5.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Luo，Ming Xing,Fei，Shao Ming,Chen，Jing Ling. Blindly verifying partially unknown entanglement[J]. iScience,2022,25(3).

Luo，Ming Xing,Fei，Shao Ming,&Chen，Jing Ling.(2022).Blindly verifying partially unknown entanglement.iScience,25(3).

Luo，Ming Xing,et al."Blindly verifying partially unknown entanglement".iScience 25.3(2022).