BETHE ANSATZ ON A QUANTUM COMPUTER?

被引：7
|
作者：
Nepomechie, Rafael, I [1 ]
机构：
[1] Univ Miami, Phys Dept, POB 248046, Coral Gables, FL 33124 USA
来源：
QUANTUM INFORMATION & COMPUTATION | 2021年 / 21卷 / 3-4期
关键词：
Bethe ansatz; variational quantum eigensolver; Schmidt decomposition; Qiskit;
D O I：
10.26421/QIC21.3-4-4
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We consider the feasibility of studying the anisotropic Heisenberg quantum spin chain with the Variational Quantum Eigensolver (VQE) algorithm, by treating Bethe states as variational states, and Bethe roots as variational parameters. For short chains, we construct exact one-magnon trial states that are functions of the variational parameter, and implement the VQE calculations in Qiskit. However, exact multi-magnon trial states appear to be out out of reach.
引用
收藏
页码：255 / 265
页数：11
相关论文
共 50 条
  • [1] Preparing Bethe Ansatz Eigenstates on a Quantum Computer
    Van Dyke, John S.
    Barron, George S.
    Mayhall, Nicholas J.
    Barnes, Edwin
    Economou, Sophia E.
    PRX QUANTUM, 2021, 2 (04):
  • [2] Bethe ansatz for quantum strings
    Arutyunov, G
    Frolov, S
    Staudacher, M
    JOURNAL OF HIGH ENERGY PHYSICS, 2004, (10): : 295 - 315
  • [3] The Bethe Ansatz as a Quantum Circuit
    Ruiz, Roberto
    Sopena, Alejandro
    Gordon, Max Hunter
    Sierra, German
    Lopez, Esperanza
    QUANTUM, 2024, 8
  • [4] Quantum computing via the Bethe ansatz
    Zhang, Yong
    QUANTUM INFORMATION PROCESSING, 2012, 11 (02) : 585 - 590
  • [5] Quantum computing via the Bethe ansatz
    Yong Zhang
    Quantum Information Processing, 2012, 11 : 585 - 590
  • [6] Quantum corrections to the string Bethe ansatz
    Hernandez, Rafael
    Lopez, Esperanza
    JOURNAL OF HIGH ENERGY PHYSICS, 2006, (07):
  • [7] Computer simulations -: Introduction to the Bethe ansatz II
    Karbach, M
    Hu, K
    Müller, G
    Tobochnik, J
    COMPUTERS IN PHYSICS, 1998, 12 (06): : 565 - 573
  • [8] On Solutions of the Bethe Ansatz for the Quantum KdV Model
    Conti, Riccardo
    Masoero, Davide
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 402 (01) : 335 - 390
  • [9] Bethe ansatz for a quantum supercoset sigma model
    Mann, N
    Polchinski, J
    PHYSICAL REVIEW D, 2005, 72 (08)
  • [10] Bethe ansatz for quantum-deformed strings
    Fiona K. Seibold
    Alessandro Sfondrini
    Journal of High Energy Physics, 2021
12345