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Deep Quantum Geometry of Matrices for Scalar Field Theory on a Fuzzy Sphere

This is the implementation of the variational quantum Monte Carlo to find a ground state in scalar free field theory on a fuzzy sphere and a scalar theory with a quartic interaction. The code is adapted from variational quantum Monte Carlo for mini-BMN matrix models (https://github.com/hanxzh94/matrix-model) with more details at arXiv:1906.08781. See the link to original code for setup.

Changes to original code

  • ent_scalar.py is used to compute entanglement of the wavefunction for scalar free field theory on a fuzzy sphere for different masses
  • ent_quartic.py is used to compute entanglement of the wavefunction for a scalar field theory with a quartic interaction on a fuzzy sphere for different quartic interaction parameter
  • obs1d.py includes observables and hamiltonians for scalar free field theory and scalar field theory with a quartic interaction on a fuzzy sphere
  • wavefunc.py added wavefunction ansatz for scalar free field theory
  • data/ added projection matrices for scalar free field theory

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Variational Monte Carlo with generative flows for mini-BMN matrix models

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