Integral decimation builds spectral tensor train representations of integrands via quantum gate sequences to achieve polynomial-time evaluation of high-dimensional integrals for statistical mechanics and quantum dynamics.
O(dlog N)-quantics approximation of N-d tensors in high- dimensional numerical modeling
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The Integral Decimation Method for Quantum Dynamics and Statistical Mechanics
Integral decimation builds spectral tensor train representations of integrands via quantum gate sequences to achieve polynomial-time evaluation of high-dimensional integrals for statistical mechanics and quantum dynamics.