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Keyword: Liouville space ×Clear all

2 claims from 1 paper

1. Physics and Astronomy › Quantum many-body systems

   Liouville-space neural network representation of density matrices

   Kothe and Kirton · Physical Review A · 2024

   The authors extend the Restricted Boltzmann Machine to represent density matrices directly in Liouville space, and benchmark it on two versions of the dissipative transverse field Ising model.

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   1. UncheckedA Restricted Boltzmann Machine that directly represents the density matrix in Liouville space can compactly represent states that appear in mean-field theory.“This allows the compact representation of states which appear in mean-field theory.”
   2. UncheckedOn two versions of the dissipative transverse field Ising model, the authors' new neural-network ansatz is reported to compete with other state-of-the-art approaches.“We benchmark our approach on two different version of the dissipative transverse field Ising model which show our ansatz is able to compete with other state-of-the-art approaches.”