Author

Diyi Liu

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Preprint Oct 2026

Driven-Dissipative Ground State Preparation: Mixing Time and Randomness

Dissipative protocols offer a route to ground state preparation that does not require a large initial overlap with the ground state. To move beyond time independent Lindbladians and randomized Lindbladians sampled from a fixed distribution, we study driven-dissipative protocols in which the generator varies over time....

Paul Cazeaux, M. Junge, Diyi Liu · 0 citations

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