“…[47][48][49][50][51][52] It is well known that there are varieties of methods to solve the reduced dynamics of open quantum systems, [53][54][55][56] such as the engineering of quantum jump operators via digital quantum simulation. [57,58] Moreover, the theory of open systems also leads to countless applications, for example, the dissipative preparation and quantum computation of entangled state, [59][60][61][62][63][64][65] the engineering of the artificial baths, [66][67][68] the characterization and quantification of quantum non-Markovian behavior, [69,70] the quantum teleportation, [71,72] the photon generation, [73][74][75] the engineering of certain physical properties, [76] and the suppression of the errors in quantum computation. [77][78][79][80][81] Recently, Chenu et al [56] proved that the dynamics of open system governed by a master equation can be well simulated by stochastic Hamiltonians.…”