Author

Fuchuan Wei

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Preprint Sep 2026

NLTM Hamiltonians from gauged sheaf quantum locally testable codes

Understanding the complexity of low-energy quantum states is a central problem in quantum complexity theory and many-body physics. Here we prove the no low-energy trivial magic (NLTM) conjecture, constructing a family of local Hamiltonians for which every state within a positive energy density window requires circuit d...

Fu-Chuan Wei, Zhen Han, Zi-Mu Li et al. · 0 citations

Preprint Sep 2026

Non-Abelian sheaf quantum LDPC codes: good and magical

Non-Abelian quantum codes connect quantum error correction, phases of matter, and computational resources. In this work, we develop a general framework for constructing non-Abelian quantum low-density parity-check (qLDPC) codes by gauging sheaf codes via cup products and use it to obtain families with constant encoding...

Zi-Mu Li, Fu-Chuan Wei, Zhen Han et al. · 1 citation · ⚡1

Preprint Aug 2026

Entirely nonlocal quantum magic without entanglement

Nonstabilizerness, or magic, is an archetypal \emph{quantum} resource that is necessary for quantum computational advantage. Here we uncover a phenomenon seemingly at odds with the quantum nature of magic: entirely nonlocal magic (ENM)---magic present only in correlations and absent from each party's marginal---can liv...

Fu-Chuan Wei, Rui-Xia Wang, Yujia Zhang et al. · 4 citations