Quantum Decomposition Algorithm For Master Equations of Stochastic Processes: The Damped Spin Case

• URL: http://arxiv.org/abs/2207.02755v3
• Date: Sun, 8 Jan 2023 14:16:50 GMT
• Title: Quantum Decomposition Algorithm For Master Equations of Stochastic Processes: The Damped Spin Case
• Authors: M. W. AlMasri, M. R. B. Wahiddin
• Abstract summary: We introduce a quantum decomposition algorithm (QDA) that decomposes the problem $fracpartial rhopartial t=mathcalLrho=lambda rho$ into a summation of eigenvalues times phase-space variables.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We introduce a quantum decomposition algorithm (QDA) that decomposes the problem $\frac{\partial \rho}{\partial t}=\mathcal{L}\rho=\lambda \rho$ into a summation of eigenvalues times phase-space variables. One interesting feature of QDA stems from its ability to simulate damped spin systems by means of pure quantum harmonic oscillators adjusted with the eigenvalues of the original eigenvalue problem. We test the proposed algorithm in the case of undriven qubit with spontaneous emission and dephasing.

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