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Keyword: spin-1 systems ×Clear all

2 claims from 1 paper

1. Physics and Astronomy › Quantum many-body systems

   Neural-Network Quantum States for Spin-1 Systems: Spin-Basis and Parameterization Effects on Compactness of Representations

   Pei and Clark · Entropy · 2021

   The paper proposes a direct spin-1 generalisation of restricted Boltzmann machines for quantum states, tests it on the spin-1 Heisenberg model, and studies how the choice of spin basis affects the size of the representation.

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   1. UncheckedA new spin-1 restricted Boltzmann machine reaches the same accuracy as the one-hot encoded version on the spin-1 Heisenberg antiferromagnet with far fewer parameters.“To test this new approach we present variational Monte Carlo (VMC) calculations for the spin-1 antiferromagnetic Heisenberg (AFH) model and benchmark it against the one-hot/unary encoded RBM demonstrating that it achieves the same accuracy with substantially fewer variational parameters.”
   2. UncheckedNumerical calculations strongly suggest the AKLT spin-1 state can be written exactly as a neural-network state in the xyz basis with M=N hidden units.“Additional VMC calculations provide strong evidence that the AKLT state in fact possesses an exact compact NQS representation in the $xyz$ basis with only $M=N$ hidden units.”