Nonlinear equilibrium problems can be solved on quantum computers by simulating a gradient-flow ODE linearized by Carleman or Pivot Switching Carleman methods.
Hilbert, Die grundlagen der physik
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Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles
Nonlinear equilibrium problems can be solved on quantum computers by simulating a gradient-flow ODE linearized by Carleman or Pivot Switching Carleman methods.