Variational quantum circuit learning of entanglement purification in multiple degrees of freedom

Zhang, Hao1; Xu, Xusheng2; Zhang, Chen1; Yung, Man-Hong3; Huang, Tao1,4; Liu, Yunjie1,4

2023-10-16

10.1103/PhysRevA.108.042611

PHYSICAL REVIEW A   Impact Factor & Quartile

2469-9926

2469-9934

Entanglement purification is a crucial technique for promising the effective entanglement channel in noisy large-scale quantum networks, yet complicated in designing protocols in multi-degree of freedom (DoF). To execute the above tasks easily and effectively, developing a learning framework for designing the entanglement purification with multi-DoF is a promising way and still an open research question. Inspired by variational quantum circuit (VQC) with remarkable advantage in learning optimal quantum operations with near-term quantum devices, in this paper we propose an effective VQC framework for the entanglement purification in multi-DoF and exploit it to learn the optimal purification protocols of the objective function which are based on postselection. By properly introducing additional circuit lines for representing each of the ancillary DoFs of all the particles, e.g., space and time, the parametrized quantum circuit can effectively simulate scalable entanglement purification. To verify our framework, the well-known protocols in linear optics are learned well with alternative operations in low-depth quantum circuit. Moreover, we simulate the multipair cases with multi-DoF to show the scalability and discover one-round protocols. Our work provides an effective way for exploring the entanglement purification protocols in multi-DoF and multipair with near-term quantum devices.

SCI

English

NI Journal Papers

Others

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:001089119300009

AMER PHYSICAL SOC

PHYSICS

Web of Science

1.Purple Mt Labs, Nanjing 211111, Peoples R China
2.Tsinghua Univ, Dept Phys, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China
3.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
4.Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China

Zhang, Hao,Xu, Xusheng,Zhang, Chen,et al. Variational quantum circuit learning of entanglement purification in multiple degrees of freedom[J]. PHYSICAL REVIEW A,2023,108(4).

Zhang, Hao,Xu, Xusheng,Zhang, Chen,Yung, Man-Hong,Huang, Tao,&Liu, Yunjie.(2023).Variational quantum circuit learning of entanglement purification in multiple degrees of freedom.PHYSICAL REVIEW A,108(4).

Zhang, Hao,et al."Variational quantum circuit learning of entanglement purification in multiple degrees of freedom".PHYSICAL REVIEW A 108.4(2023).