advection-diffusion-reaction 1hardware-efficient ansatz 1matrix product states 1near-term devices 1numerical simulation 1partial differential equations 1quantum control 1state transfer 1tensor networks 1variational algorithms 1
From the 2 of 13 linked papers with an AI index.
Showing math.NAShow all
2 papers · 1 filter
math.NA2026
Tensor Network Methods for Advection-Diffusion-Reaction Systems Using Quantum-Inspired Representations
Nahid Binandeh Dehaghani, Rafal Wisniewski, A. Pedro Aguiar
The paper introduces a quantum-inspired tensor‑network approach that encodes discretized advection‑diffusion‑reaction PDE solutions as matrix product states and operators, enabling…
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…