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We propose a general framework of quantum kinetic Monte Carlo algorithm,based on a stochastic representation of a series expansion of the quantumevolution. Two approaches have been developed in the context of quantummany-body spin dynamics, using different decomposition of the Hamiltonian. Theeffectiveness of the methods is tested for many-body spin systems up to 40spins.

A Quantum Kinetic Monte Carlo Method for Quantum Many-body Spin Dynamics