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Gibbs Sampling in the Shattered Phase by Decoded Quantum Interferometry
computational-complexitydata-structures-and-algorithmsdisordered-systems-and-neural-networksprobabilityquantum-physics
We apply Decoded Quantum Interferometry (DQI) to sample from the Gibbs measures of classical Ising spin Hamiltonians. We show that this Gibbs sampling problem reduces to a quantum decoding problem, and the temperature achievable by DQI is determined by the performance of decoding algorithms. We then
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