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

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.

9 pages

References in corpus (2)

• Optimal shortcuts of Stimulated Raman Adiabatic Passage in the presence of dissipation
• Bargmann representation of quantum absorption refrigerators

Cited by in corpus (3)

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