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arXiv · 2608.22892

Deterministic Preparation of Arbitrary Spin Eigenfunctions

Wenxuan Tao·Jianan Wang·Fen Zuo
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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 B\"{a}rtschi 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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Wenxuan Tao, Jianan Wang, Fen Zuo. 2026-08-24. Deterministic Preparation of Arbitrary Spin Eigenfunctions. https://arxiv.org/abs/2608.22892

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