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quant-ph2026
Efficient Quantum Simulation for Nonlinear Stochastic Differential Equations
Xiangyu Li, Ahmet Burak Catli, Ho Kiat Lim +4
Nonlinear stochastic differential equations (NSDEs) are a pillar of mathematical modeling for scientific and engineering applications. Accurate and efficient simulation of large-sc…
quant-ph2025
Quantum Algorithm for Subcellular Multiscale Reaction-Diffusion Systems
Margot Lockwood, Nathan Wiebe, Connah Johnson +5
Computational modeling of cellular systems, where reactants are governed by biochemical equations and physical representations, requires extensive classical computing resources. Th…
quant-ph2025
Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections
Philipp Schleich, Tyler Kharazi, Xiangyu Li +3
Complicated boundary conditions are essential to accurately describe phenomena arising in nature and engineering. Recently, the investigation of a potential speedup through quantum…