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Keyword: symmetry restoration ×Clear all

2 claims from 1 paper

1. Physics and Astronomy › Quantum many-body systems

   Helping restricted Boltzmann machines with quantum-state representation by restoring symmetry

   Nomura · Journal of Physics Condensed Matter · 2021

   The paper builds a neural-network wave function (a restricted Boltzmann machine) with symmetry projections and applies it to the square-lattice J1-J2 Heisenberg model, reporting state-of-the-art accuracy.

   Unchecked2 claims
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   1. UncheckedAdding quantum-number projections to a restricted Boltzmann machine wave function restores its symmetry and allows excited states to be calculated.“We supplement the RBM wave function with quantum-number projections, which restores the symmetry of the wave function and makes it possible to calculate excited states.”
   2. UncheckedWith symmetry restored, a restricted Boltzmann machine wave function reaches state-of-the-art accuracy for ground and excited states of a quantum spin model.“We show that, with the help of the symmetry, the RBM wave function achieves state-of-the-art accuracy both in ground-state and excited-state calculations.”