MPS TE-PAI achieves unbiased classical time evolution by averaging tensor-network representations of randomized shallow Trotter circuits, yielding lower gate counts per sample and better tolerance to bond-dimension truncation than standard methods.
Orús, Tensor networks for complex quantum systems, Nature Reviews Physics1, 538 (2019)
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Entanglement structure provides a natural distributed representation for quantum wavefunctions that reduces Hamiltonian applications to local contractions and enables near-linear scaling in simulations.
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