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math.NA2024
Re-anchoring Quantum Monte Carlo with Tensor-Train Sketching
Ziang Yu, Shiwei Zhang, Yuehaw Khoo
We propose a novel algorithm for calculating the ground-state energy of quantum many-body systems by combining auxiliary-field quantum Monte Carlo (AFQMC) with tensor-train sketchi…
math.NA2023
Combining Monte Carlo and Tensor-network Methods for Partial Differential Equations via Sketching
Yian Chen, Yuehaw Khoo, Ziang Yu
In this paper, we propose a general framework for solving high-dimensional partial differential equations with tensor networks. Our approach uses Monte-Carlo simulations to update…