Geometric partitioning of lattice Hamiltonians into local patches enables energy measurements in patch eigenbases, producing lower-variance estimators than Pauli grouping for eigenstates with rigorous guarantees even under depolarizing noise.
Anshu, Concentration bounds for quantum states with finite correlation length on quantum spin lattice systems, New Journal of Physics 18, 083011 (2016)
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Shot-noise reduction for lattice Hamiltonians
Geometric partitioning of lattice Hamiltonians into local patches enables energy measurements in patch eigenbases, producing lower-variance estimators than Pauli grouping for eigenstates with rigorous guarantees even under depolarizing noise.