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

• URL: http://arxiv.org/abs/2508.12011v1
• Date: Sat, 16 Aug 2025 10:49:03 GMT
• Title: Preparation of the single-spinon wave function in a quantum computer
• Authors: D. Faílde, A. Gómez, J. Fernández-Rossier,
• Abstract summary: We consider the preparation of single-spinon wave functions, relevant for one-dimensional $S=1/2$ spin models, in a quantum computer.<n>We consider three different strategies to compute the single-spinon energy in a quantum computer and analyze their cost in terms of the number of qubits, gates, and circuits.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider the preparation of single-spinon wave functions, relevant for one-dimensional $S=1/2$ spin models, in a quantum computer. We adopt the recently proposed ansatz \cite{kulk} 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 $S_z=1/2$ 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 both for 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 and analyze their cost in terms of the number of qubits, gates, and circuits.

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