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NLTM Hamiltonians from gauged sheaf quantum locally testable codes
Fuchuan Wei, Zhengyi Han, Zimu Li +1
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 (NL…
Single-shot state preparation threshold: rigorous theorem and statistical mechanical mapping
Yuanchen Zhao, Yi Yuan, Zhengyi Han +1
Preparing logical codewords with a single round of noisy syndrome measurements can reduce the time overhead of fault-tolerant quantum computation. It remains unclear which structur…
Weakly interacting fermionic Gibbs states are Gaussian mixtures and classically simulable
Zhengyi Han, Yuanchen Zhao, Zi-Wen Liu
Identifying regimes in which interacting fermionic systems admit efficient classical simulation is a crucial task in quantum many-body physics. In this work, we rigorously establis…
Coherent error threshold for quantum LDPC codes
Zhengyi Han, Yuanchen Zhao, Yijia Xu +2
A key appeal of quantum low-density parity check (qLDPC) codes is their ability to suppress stochastic Pauli noise below nonzero thresholds. Coherent errors are fundamentally diffe…
Theory of low-weight quantum codes
Fuchuan Wei, Zhengyi Han, Austin Yubo He +2
Low check weight is a crucial code property for fault-tolerant quantum computing, which underlies the strong interest in quantum low-density parity-check (qLDPC) codes. Here, we in…