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Quantum Chemistry

Deterministic Preparation of Arbitrary Spin Eigenfunctions

arXiv

Authors: Wenxuan Tao, Jianan Wang, Fen Zuo

Year

2026

Paper ID

76461

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

Quantum states with conserved total spins, or spin eigenfunctions, are important for studying quantum chemistry and quantum manybody physics problems. A typical class of spin eigenfunctions are Dicke states, which attain maximal spins. While we already have many efficient quantum algorithms to prepare Dicke states, it is not yet clear if we could do so for arbitrary spin eigenfunctions deterministically. Generalizing Bärtschi and Eidenbenz's elegant algorithms for Dicke state preparation, we successfully prepare arbitrary spin eigenfunctions characterized by branching paths and binary spin trees. As a byproduct, we also develop the corresponding classical algorithms to reconstruct all these spin states.

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This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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Quantum states with conserved total spins, or spin eigenfunctions, are important for studying quantum chemistry and quantum manybody physics problems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2608.22892 [2] arXiv https://arxiv.org/abs/2608.22892 [3] Publisher https://arxiv.org/abs/2608.22892

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