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Status: Unchecked ×Keyword: quantum entanglement ×Clear all

3 claims from 1 paper

1. Physics and Astronomy › Quantum many-body systems

   Quantum Entanglement in Neural Network States

   Deng, Li and Das Sarma · Physical Review X · 2017

   The paper studies how much quantum entanglement neural-network states, mainly restricted Boltzmann machines, can carry, and shows that it depends on connection range and on the choice of weights.

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   1. UncheckedThe paper proves that entanglement in short-range restricted Boltzmann machine states follows an area law, in any dimension and for any way of splitting the system.“We prove that the entanglement of all short-range RBM states satisfies an area law for arbitrary dimensions and bipartition geometry.”
   2. Unchecked“For long-range RBM states we show by using an exact construction that such states could exhibit volume-law entanglement, implying a notable capability of RBM in representing efficiently quantum states with massive entanglement.”
   3. Unchecked“We find that their averaged entanglement entropy obeys volume-law scaling and meantime strongly deviates from the Page-entropy of the completely random pure states.”