Reproduce “Deterministic Preparation of Arbitrary Spin Eigenfunctions” on OpenResearch
Turn your favorite coding agents into research agents that review literature, develop hypotheses, and run experiments.
Universal app for Apple silicon and Intel. Requires macOS 11 or later.
About this paper
Wenxuan Tao, Jianan Wang, Fen Zuo
Researchers from Shanghai MiQro Era Digital Technology Co. Ltd. present deterministic quantum algorithms for preparing arbitrary spin eigenfunctions, extending efficient methods previously limited to Dicke states. Their work generalizes the "Split & Cyclic Shift" (SCS) and "Weight Distribution Block" (WDB) algorithms by integrating Clebsch-Gordan coefficients, confirming the preparation of states defined by branching paths and general spin trees, including Lieb-Mattis states.
Key insights
- Efficient parallelization techniques for preparing Dicke states can be universally applied to arbitrary spin eigenfunctions by re-framing the problem using angular momentum theory and Clebsch-Gordan coefficients.
- Spin trees provide a generalized, hierarchical framework for characterizing arbitrary spin coupling processes, encompassing the sequential coupling described by branching diagrams.
- A full WDB unitary, necessary for general spin tree preparation, can be constructed using an auxiliary qubit to conditionally apply standard or negative-logic WDB modules across the entire range of Hamming weights.
Summary by alphaXiv.
Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.