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math.NA2026
Tensor Network Methods for Advection-Diffusion-Reaction Systems Using Quantum-Inspired Representations
Nahid Binandeh Dehaghani, Rafal Wisniewski, A. Pedro Aguiar
We present a quantum-inspired tensor-network framework for solving advection-diffusion-reaction (ADR) partial differential equations. Discretized solution fields are encoded as mat…
math.NA2026
Quantum-Inspired Tensor Networks for Approximating PDE Flow Maps
Nahid Binandeh Dehaghani, Ban Q. Tran, Rafal Wisniewski +2
We investigate quantum-inspired tensor networks (QTNs) for approximating flow maps of hydrodynamic partial differential equations (PDEs). Motivated by the effective low-rank struct…