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quant-ph2026
From Nonlinear Stochastic Differential Equations to Quantum Channels: The Kolmogorov--Lindblad Mapping
Hsuan-Cheng Wu, Xiantao Li
Nonlinear stochastic differential equations (SDEs) underlie molecular modeling and drug discovery, quantitative finance, stochastic learning, and uncertainty quantification. Their…
quant-ph2026
Auxiliary-Field Quantum Monte Carlo on Quantum Hardware via Unitary Dilation
Xiantao Li
We present near-term quantum algorithms for auxiliary-field quantum Monte Carlo (AFQMC), viewed as imaginary-time projection for ground-state calculation as an ensemble of one-body…
quant-ph2026
Universal Dilation of Linear Itô SDEs: Quantum Trajectories and Lindblad Simulation of Second Moments
Hsuan-Cheng Wu, Xiantao Li
We present a universal framework for simulating -dimensional linear Itô stochastic differential equations (SDEs) on quantum computers with additive or multiplicative noises. Bui…