Quantum decomposition algorithm for master equations of stochastic processes: The damped spin case

In this paper, we introduce a quantum decomposition algorithm (QDA) that decomposes the problem [Formula: see text] into summation of eigenvalues times phase–space variables. One interesting feature QDA stems from its ability to simulate damped spin systems by means pure harmonic oscillators adjusted with original eigenvalue problem. We test proposed in case undriven qubit spontaneous emission and dephasing.