Error-mitigated quantum simulation of interacting fermions with trapped ions

Chen，Wentao1; Zhang，Shuaining2,3; Zhang，Jialiang1; Su，Xiaolu1; Lu，Yao1,4; Zhang，Kuan1,5; Qiao，Mu1; Li，Ying6; Zhang，Jing Ning3; Kim，Kihwan1,3,7,8

2023-12-01

10.1038/s41534-023-00784-8

npj Quantum Information   影响因子和分区

2056-6387

Quantum error mitigation has been extensively explored to increase the accuracy of the quantum circuits in noisy-intermediate-scale-quantum (NISQ) computation, where quantum error correction requiring additional quantum resources is not adopted. Among various error-mitigation schemes, probabilistic error cancellation (PEC) has been proposed as a general and systematic protocol that can be applied to numerous hardware platforms and quantum algorithms. However, PEC has only been tested in two-qubit systems and a superconducting multi-qubit system by learning a sparse error model. Here, we benchmark PEC using up to four trapped-ion qubits. For the benchmark, we simulate the dynamics of interacting fermions with or without spins by applying multiple Trotter steps. By tomographically reconstructing the error model and incorporating other mitigation methods such as positive probability and symmetry constraints, we are able to increase the fidelity of simulation and faithfully observe the dynamics of the Fermi–Hubbard model, including the different behavior of charge and spin of fermions. Our demonstrations can be an essential step for further extending systematic error-mitigation schemes toward practical quantum advantages.

SCI ; EI

英语

其他

WOS:001117931300001

20234915184394

Error correction ; Quantum chemistry ; Quantum optics ; Qubits ; Spin dynamics

Light, Optics and Optical Devices:741 ; Light/Optics:741.1 ; Nanotechnology:761 ; Physical Chemistry:801.4 ; Atomic and Molecular Physics:931.3 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85178892367

Scopus

1.State Key Laboratory of Low Dimensional Quantum Physics,Department of Physics,Tsinghua University,Beijing,100084,China
2.Department of Physics,Renmin University of China,Beijing,100872,China
3.Beijing Academy of Quantum Information Sciences,Beijing,100193,China
4.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
5.MOE Key Laboratory of Fundamental Physical Quantities Measurement,Hubei Key Laboratory of Gravitation and Quantum Physics,PGMF,Institute for Quantum Science and Engineering,School of Physics,Huazhong University of Science and Technology,Wuhan,430074,China
6.Graduate School of China Academy of Engineering Physics,Beijing,100193,China
7.Hefei National Laboratory,Hefei,230088,China
8.Frontier Science Center for Quantum Information,Beijing,100084,China

Chen，Wentao,Zhang，Shuaining,Zhang，Jialiang,et al. Error-mitigated quantum simulation of interacting fermions with trapped ions[J]. npj Quantum Information,2023,9(1).

Chen，Wentao.,Zhang，Shuaining.,Zhang，Jialiang.,Su，Xiaolu.,Lu，Yao.,...&Kim，Kihwan.(2023).Error-mitigated quantum simulation of interacting fermions with trapped ions.npj Quantum Information,9(1).

Chen，Wentao,et al."Error-mitigated quantum simulation of interacting fermions with trapped ions".npj Quantum Information 9.1(2023).