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quant-ph2023
Optimal Convergence Rate of Lie-Trotter Approximation for Quantum Thermal Averages
Xuda Ye, Zhennan Zhou
The Lie--Trotter product formula is a foundational approximation for the quantum partition function, yet obtaining rigorous error bounds for the unbounded Hamiltonians common in ph…
quant-ph2021★ 6 cited
Efficient Sampling of Thermal Averages of Interacting Quantum Particle Systems with Random Batches
Xuda Ye, Zhennan Zhou
An efficient sampling method, the pmmLang+RBM, is proposed to compute the quantum thermal average in the interacting quantum particle system. Benefiting from the random batch metho…