Abstract
Abstract
The open spin-1/2 XXZ spin chain with diagonal boundary magnetic fields is the paradigmatic example of a quantum integrable model with open boundary conditions. We formulate a quantum algorithm for preparing Bethe states of this model, corresponding to real solutions of the Bethe equations. The algorithm is probabilistic, with a success probability that decreases with the number of down spins. For a Bethe state of L spins with M down spins, which contains a total of
L
M
2
M
M
!
terms, the algorithm requires L + M
2 + 2M qubits.
Funder
DOE Office of Science, National Quantum Information Science Research Centers
Department of Energy
Center for Quantum Advantage
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Reference37 articles.
1. On the theory of metals: 1. Eigenvalues and eigenfunctions for the linear atomic chain;Bethe;Z. Phys.,1931
2. How algebraic Bethe ansatz works for integrable models;Faddeev,1998
3. Introduction to the Yang–Baxter equation;Jimbo;Int. J. Mod. Phys. A,1989
4. The Bethe ansatz after 75 years;Batchelor;Phys. Today,2007
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Spin‐s$s$ Dicke States and Their Preparation;Advanced Quantum Technologies;2024-09-09
2. Estimating Bethe roots with VQE;Journal of Physics A: Mathematical and Theoretical;2024-08-20
3. The Bethe Ansatz as a Quantum Circuit;Quantum;2024-05-23
4. Occupancy probabilities in superintegrable bosonic networks;Nuclear Physics B;2024-01
5. The Bethe Ansatz as a Quantum Circuit;Journal of Physics: Conference Series;2023-12-01