Continuous TE-PAI provides an unbiased randomized protocol for Hamiltonian simulation free of Trotter error at finite circuit depth, combined with structure-aware variance reduction that achieves up to 96% sampling-cost savings in n=30 tensor-network simulations.
Chen, Concentration for Random Product Formu- las, PRX Quantum2, 10.1103/PRXQuantum.2.040305 (2021)
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Higher-order Zeno sequences achieve O(1/N^{2k}) convergence to Zeno dynamics for projective measurements and unitary kicks by mapping to higher-order Trotter formulas.
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Structure-Aware Variance Reduction for Unbiased Randomized Hamiltonian Simulation
Continuous TE-PAI provides an unbiased randomized protocol for Hamiltonian simulation free of Trotter error at finite circuit depth, combined with structure-aware variance reduction that achieves up to 96% sampling-cost savings in n=30 tensor-network simulations.
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Higher-order Zeno sequences
Higher-order Zeno sequences achieve O(1/N^{2k}) convergence to Zeno dynamics for projective measurements and unitary kicks by mapping to higher-order Trotter formulas.