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Author

David B. Williams-Young

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Preprint Oct 2026

$T$-efficient unitary synthesis via block-sparse Hamiltonian simulation

We construct Clifford+$T$ circuits implementing arbitrary $n$-qubit unitaries with worst-case $T$-count $\widetilde{O}(N^{8/7})$ at constant operator-norm error, where $N=2^n$, improving the previous exponent $5/4$. The construction uses $\widetilde{O}(N^{6/7})$ clean ancillas. The main idea is to reduce the data addre...

Diyi Liu, Shu-Chen Zhu, Wibe A. de Jong et al. · 0 citations
Preprint Aug 2026

Clifford-efficient sparse state preparation for molecular wavefunctions

This work exploits affine relationships among the binary configurations over the finite field $\operatorname{GF}(2)$ to reduce both the non-Clifford gate count and the ancillary qubit count before binary encoding.

Yingrong Chen, Nathan Baker, Rushi Gong et al. · 0 citations

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