Quantum computing for the Lipkin model with unitary coupled cluster and structure learning ansatz *

被引:8
|
作者
Chikaoka, Asahi [1 ,2 ]
Liang, Haozhao [1 ,2 ]
机构
[1] Univ Tokyo, Grad Sch Sci, Dept Phys, Tokyo 1130033, Japan
[2] RIKEN Nishina Ctr, Wako, Saitama 3510198, Japan
关键词
Lipkin model; quantum computing; variational quantum eigensolver; BODY APPROXIMATION METHODS; SOLVABLE MODEL; SHELL-MODEL; VALIDITY;
D O I
10.1088/1674-1137/ac380a
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We report a benchmark calculation for the Lipkin model in nuclear physics with a variational quantum eigensolver in quantum computing. Special attention is paid to the unitary coupled cluster (UCC) ansatz and structure learning (SL) ansatz for the trial wave function. Calculations with both the UCC and SL ansatz can reproduce the ground-state energy well; however, it is found that the calculation with the SL ansatz performs better than that with the UCC ansatz, and the SL ansatz has even fewer quantum gates than the UCC ansatz.
引用
收藏
页数:9
相关论文
共 50 条
  • [41] THE LINKED SINGLES AND DOUBLES MODEL - AN APPROXIMATE THEORY OF ELECTRON CORRELATION BASED ON THE COUPLED-CLUSTER ANSATZ
    CULLEN, JM
    ZERNER, MC
    JOURNAL OF CHEMICAL PHYSICS, 1982, 77 (08): : 4088 - 4109
  • [42] Mapping renormalized coupled cluster methods to quantum computers through a compact unitary representation of nonunitary operators
    Peng, Bo
    Kowalski, Karol
    PHYSICAL REVIEW RESEARCH, 2022, 4 (04):
  • [43] Extended Lipkin model: Proposal for implementation in a quantum platform and machine learning analysis of its phase diagram
    Baid, S.
    Saiz, A.
    Lamata, L.
    Perez-Fernandez, P.
    Romero, A. M.
    Rios, A.
    Arias, J. M.
    Garcia-Ramos, J. E.
    PHYSICAL REVIEW C, 2024, 110 (04)
  • [44] Variational quantum eigensolver simulations with the multireference unitary coupled cluster ansatz: a case study of the C2v quasi-reaction pathway of beryllium insertion into a H2 molecule
    Sugisaki, Kenji
    Kato, Takumi
    Minato, Yuichiro
    Okuwaki, Koji
    Mochizuki, Yuji
    PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2022, 24 (14) : 8439 - 8452
  • [45] Nuclear structure calculations with coupled cluster methods from quantum chemistry
    Dean, DJ
    Gour, JR
    Hagen, G
    Hjorth-Jensen, M
    Kowalski, K
    Papenbrock, T
    Piecuch, P
    Wloch, M
    NUCLEAR PHYSICS A, 2005, 752 : 299C - 308C
  • [46] Electronic structure of spherical quantum dots using coupled cluster method
    Heidari, Ideh
    Pal, Sourav
    Pujari, B. S.
    Kanhere, D. G.
    JOURNAL OF CHEMICAL PHYSICS, 2007, 127 (11):
  • [47] Dual exponential coupled cluster theory: Unitary adaptation, implementation in the variational quantum eigensolver framework and pilot applications
    Halder, Dipanjali
    Prasannaa, V. S.
    Maitra, Rahul
    JOURNAL OF CHEMICAL PHYSICS, 2022, 157 (17):
  • [48] A quantum model of feed-forward neural networks with unitary learning algorithms
    Changpeng Shao
    Quantum Information Processing, 2020, 19
  • [49] A quantum model of feed-forward neural networks with unitary learning algorithms
    Shao, Changpeng
    QUANTUM INFORMATION PROCESSING, 2020, 19 (03)
  • [50] Non-iterative disentangled unitary coupled-cluster based on lie-algebraic structure
    Haidar, Mohammad
    Adjoua, Olivier
    Badreddine, Siwar
    Peruzzo, Alberto
    Piquemal, Jean-Philip
    QUANTUM SCIENCE AND TECHNOLOGY, 2025, 10 (02):