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We propose a method to mitigate heavy-tailed distributions in fermion QuantumMonte Carlo simulations originating from zeros of the fermion determinant. Inthis case the second moment of the observables might be not well defined, andwe show that by merely changing the synchronization between local updates andcomputation of observables, one can reduce the prefactor of the heavy-taileddistribution, thus substantially suppressing statistical fluctuations ofobservables. We also show that the average, or the first moment, is welldefined and hence is independent on our measuring scheme. The method isespecially suitable for local observables similar to e.g. double occupancy,where the resulting speedup can reach two orders of magnitude. For observables,containing spatial correlators, the speedup is more moderate, but still rangesbetween five and ten. Our results are independent on the nature of theauxiliary field, discrete or continuous, and pave the way to improvemeasurement strategies for Hybrid Monte Carlo simulations.

Mitigating spikes in fermion Monte Carlo methods by reshuffling measurements