We used a self-written Julia library to find unitary approximations of

matrix product operators (MPO). We implemented the variational quantum algorithms in python,

using pennylane, pyTorch and Jax.

This dataset contains: 

• Unitaries that represent the MPO operators

• Weights for all time steps parametrizing the solution of the linear Euler equation, the Burgers’

  equation and the Advection-Diffusion equation.

• Weights encoding the initial condition for the the Burgers’ equation and the Advection-Diffusion 

   equation.

• Data used for Fig.4, Fig.7 , Fig.8