Rare-event properties in a classical stochastic model describing the evolution of random unitary circuits.

  title={Rare-event properties in a classical stochastic model describing the evolution of random unitary circuits.},
  author={S. L. A. de Queiroz},
  journal={Physical review. E},
  volume={104 3-1},
We investigate the statistics of selected rare events in a (1+1)-dimensional (classical) stochastic growth model which describes the evolution of (quantum) random unitary circuits. In such classical formulation, particles are created and/or annihilated at each step of the evolution process, according to rules which generally favor a growing cluster size. We apply a large-deviation approach based on biased Monte Carlo simulations, with suitable adaptations, to evaluate (a) the probability of… Expand


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  • Rev. E 100, 062301
  • 2019
  • Rev. X 8, 021014
  • 2018
  • Phys. J. B 84, 627
  • 2011
  • 2010