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acbbullock committed Dec 24, 2022
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# Learning Quantum States with Neural Networks

![Correlations_A](data/correlations_A.png)
Figure 1: Map of statistical spin configurations of an Ising chain of $n=1000$ spins relative to the middle spin at site $n/2+1=501$ over the course of learning for the antiferromagnetic Ising model ($J<0$). The spin configuration approaches the ground state configuration as the energy approaches the ground state energy.
Figure 1: Map of statistical spin configurations of an Ising chain of $n=1000$ spins relative to the middle spin at site $n/2+1=501$ over the course of learning for the antiferromagnetic Ising model $J<0$. The spin configuration approaches the ground state configuration as the energy approaches the ground state energy.

![Energies_A](data/energies_A.png)
Figure 2: Statistical expectation of the energy with standard error of the mean over the course of learning for the antiferromagnetic Ising model with $J = -0.5$ and $B = 0.1$.
Figure 2: Statistical expectation of the energy with standard error of the mean over the course of learning for the antiferromagnetic Ising model with $J=-0.5$ and $B=0.1$.

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