# Quantum Simulation of Dynamical Transition Rates in Open Quantum Systems

Source: [Quantum Simulation of Dynamical Transition Rates in Open Quantum Systems](<https://www.sota2.com/research/paper/68fa4bcc1e209131ce94897c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-12-17T05:01:50.819Z

Authors: Robson Christie, Kyunghyun Baek, Jeongho Bang, Jaewoo Joo

Published: 2024-12-23T02:53:05.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2412.17229>)

[PDF](<https://arxiv.org/pdf/2412.17229.pdf>)