Author

Zi-Mu Li

3 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

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 Sep 2026

Transversal non-Clifford gates on good quantum locally testable codes

We achieve nontrivial transversal logical multi-controlled-$Z$ gates with asymptotically optimal parameters simultaneously on quantum low-density parity check codes and quantum locally testable codes, by applying the gate framework of [arXiv:2604.01874] to the recent good qLTC construction of [arXiv:2609.20780]. To thi...

Yi-Ming Li, Zi-Mu Li, Zi-Wen Liu · 5 citations