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arXiv · 2412.17229

Quantum Simulation of Dynamical Transition Rates in Open Quantum Systems

Robson Christie·Kyunghyun Baek·Jeongho Bang·Jaewoo Joo
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Abstract

Estimating transition rates in open quantum systems is hampered by computing-resource demands that grow rapidly with system size. We present a quantum-simulation framework that enables efficient estimation by recasting the transition rate, given as the time derivative of an equilibrium correlation function, into a set of independently measurable contributions. Each contribution term is evaluated as the expectation value of a parameter-tuned quantum process, thereby circumventing explicit Lindbladian numerics. We validate our method on a spin-1/2 decoherence model using an IBM quantum processor. Further, we apply the method to the Caldeira-Leggett model of quantum Brownian motion as a realistic and practically relevant setting and reaffirm the theoretical soundness and practical implementability. These results provide evidence that quantum simulation can deliver substantial computational advantages in studying open-system kinetics for quantum chemistry on an intermediate-scale quantum computer.

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Robson Christie, Kyunghyun Baek, Jeongho Bang, Jaewoo Joo. 2024-12-23. Quantum Simulation of Dynamical Transition Rates in Open Quantum Systems. https://arxiv.org/abs/2412.17229

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