Nai-Hui Chia

collaborators

Showing quant-phShow all

2 papers · 1 filter

quant-ph2025

3-Local Hamiltonian Problem and Constant Relative Error Quantum Partition Function Approximation: $O (2^{\frac{n}{2}})$ Algorithm Is Nearly Optimal under QSETH

Nai-Hui Chia, Yu-Ching Shen

We investigate the computational complexity of the Local Hamiltonian (LH) problem and the approximation of the Quantum Partition Function (QPF), two central problems in quantum man…

quant-ph2023

On the Impossibility of General Parallel Fast-forwarding of Hamiltonian Simulation

Nai-Hui Chia, Kai-Min Chung, Yao-Ching Hsieh +3

Hamiltonian simulation is one of the most important problems in the field of quantum computing. There have been extended efforts on designing algorithms for faster simulation, and…

3-Local Hamiltonian Problem and Constant Relative Error Quantum Partition Function Approximation: O(22n​) Algorithm Is Nearly Optimal under QSETH

On the Impossibility of General Parallel Fast-forwarding of Hamiltonian Simulation

3-Local Hamiltonian Problem and Constant Relative Error Quantum Partition Function Approximation: $O (2^{\frac{n}{2}})$ Algorithm Is Nearly Optimal under QSETH