An autoregressive sampler draws Pauli strings sequentially from computable conditionals to enable linear-cost fidelity estimation for random matrix product states, with a grouped commuting extension to lower variance.
Vidal, Classical simulation of infinite-size quantum lattice systems in one spatial dimension, Physical Review Letters98, 070201 (2007)
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Verifying random matrix product states with autoregressive local measurements
An autoregressive sampler draws Pauli strings sequentially from computable conditionals to enable linear-cost fidelity estimation for random matrix product states, with a grouped commuting extension to lower variance.