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Preparation of the single-spinon wave function on a quantum computer

D. Faílde1,*, A. Gómez1, and J. Fernández-Rossier2

  • *Contact author: dfailde@cesga.es
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Phys. Rev. Research 8, 033152 – Published 7 August, 2026

DOI: https://doi.org/10.1103/qlsh-5pdm

Abstract

We address the problem of how to prepare single-spinon wave functions, relevant for one-dimensional S=1/2 spin models, in a quantum computer. We adopt the recently proposed ansatz [Kulka et al., Phys. Rev. Lett. 134, 236504 (2025)] for the single-spinon wave function, where a state with S=1/2 is built in a spin chain with L+1 sites, adding a site with Sz=1/2 to the configurations of the ground-state wave function for the spin chain with length L. We extend the original work to the case of the Haldane-Shastry model. We discuss how to prepare the single-spinon ansatz for both the Heisenberg and Haldane-Shastry models in quantum computers, using a linear combination of unitaries. We consider three different strategies to compute the single-spinon energy in a quantum computer, we analyze their cost in terms of the number of qubits, gates, and circuits, and we test them in silico.

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Phys. Rev. Research 8, 033152– Published 7 August, 2026
  • Received 17 August 2025
  • Accepted 23 June 2026
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