2019

Generative training of quantum Boltzmann machines with hidden units

Wiebe, Nathan, Wossnig, Leonard

Understand

In this article we provide a method for fully quantum generative training of quantum Boltzmann machines with both visible and hidden units while using quantum relative entropy as an objective.

  • This is significant because prior methods were not able to do so due to mathematical challenges posed by the gradient evaluation.
  • We present two novel methods for solving this problem.
  • The first proposal addresses it, for a class of restricted quantum Boltzmann machines with mutually commuting Hamiltonians on the hidden units, by using a variational upper bound on the quantum relative entropy.

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