Variational quantum simulation of long-range interacting systems

Lyu，Chufan1; Tang，Xiaoyu1; Li，Junning2; Xu，Xusheng2; Yung，Man Hong2,3,4,5,6; Bayat，Abolfazl1

2023-05-01

10.1088/1367-2630/acd571

New Journal of Physics   影响因子和分区

1367-2630

Current quantum simulators suffer from multiple limitations such as short coherence time, noisy operations, faulty readout and restricted qubit connectivity in some platforms. Variational quantum algorithms are the most promising approach in near-term quantum simulation to achieve practical quantum advantage over classical computers. Here, we explore variational quantum algorithms, with different levels of qubit connectivity, for digital simulation of the ground state of long-range interacting systems as well as generation of spin squeezed states. We find that as the interaction becomes more long-ranged, the variational algorithms become less efficient, achieving lower fidelity and demanding more optimization iterations. In particular, when the system is near its criticality the efficiency is even lower. Increasing the connectivity between distant qubits improves the results, even with less quantum and classical resources. Our results show that by mixing circuit layers with different levels of connectivity one can sensibly improve the performance. Interestingly, the order of layers becomes very important and grouping the layers with long-distance connectivity at the beginning of the circuit outperforms other permutations. The same design of circuits can also be used to variationally produce spin squeezed states, as a resource for quantum metrology.

long-range interaction quantum simulation spin squeezing variational quantum eigensolver

SCI ; EI

英语

其他

National Science Foundation[12050410253];Ministry of Science and Technology[QNJ2021167001L];

Physics

Physics, Multidisciplinary

WOS:000993781500001

IOP Publishing Ltd

20232214173161

Ground state ; Quantum chemistry ; Quantum optics

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

PHYSICS

2-s2.0-85160513094

Scopus

1.Institute of Fundamental and Frontier Sciences,University of Electronic Science and Technology of China,Chengdu,610051,China
2.Central Research Institute,Shenzhen,Huawei Technologies,518129,China
3.Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
4.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
5.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
6.Shenzhen Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Lyu，Chufan,Tang，Xiaoyu,Li，Junning,et al. Variational quantum simulation of long-range interacting systems[J]. New Journal of Physics,2023,25(5).

Lyu，Chufan,Tang，Xiaoyu,Li，Junning,Xu，Xusheng,Yung，Man Hong,&Bayat，Abolfazl.(2023).Variational quantum simulation of long-range interacting systems.New Journal of Physics,25(5).

Lyu，Chufan,et al."Variational quantum simulation of long-range interacting systems".New Journal of Physics 25.5(2023).