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Preprint Sep 2026

Purely-logarithmic-time- and constant-space-overhead fault-tolerant quantum computation

We prove that constant-space-overhead fault-tolerant quantum computation can be achieved with provably strictly logarithmic time overhead, improving over the best known results with additional subpolylogarithmic factors. Our main construction uses polynomial-subrank transversal logical $\CCZ$ gates on good quantum loca...

Zhen Han, Zi-Wen Liu · 1 citation
Preprint Sep 2026

Coherent error threshold for quantum LDPC codes

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 different: they produce superpositions of error patterns whose amplitudes can interfere even after syndrome measurement. Rigorous understanding o...

Zhen Han, Yuan-Yuan Zhao, Yijia Xu et al. · 0 citations

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