Leveraging Tensor Networks to Encode Probability Distributions for Quantum Monte Carlo
Abstract The integration of Tensor Networks into quantum computing has unlocked new possibilities, particularly for efficiently loading complex datasets onto quantum systems. In this talk, we examine the tensor-train cross approximation (TT-cross) algorithm as an effective solution to the probability loading challenge in Quantum Monte Carlo (QMC). By applying TT-cross to high-dimensional financial distributions, we…