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Shot-noise reduction for lattice Hamiltonians

quant-ph · 2024-10-28 · unverdicted · novelty 6.0

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.

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  • Efficient implementation of randomized quantum algorithms with dynamic circuits quant-ph · 2025-03-22 · unverdicted · none · ref 2

    Engineering method using dynamic circuits to generate randomized algorithm distributions on quantum hardware, achieving 14000x speedup for Pauli measurements and enabling 10M-circuit classical shadows on 28-40 qubit hydrogen models.

  • Shot-noise reduction for lattice Hamiltonians quant-ph · 2024-10-28 · unverdicted · none · ref 17

    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.