Quantum Simulation of Dynamical Transition Rates in Open Quantum Systems

• URL: http://arxiv.org/abs/2412.17229v2
• Date: Thu, 11 Sep 2025 10:54:06 GMT
• Title: Quantum Simulation of Dynamical Transition Rates in Open Quantum Systems
• Authors: Robson Christie, Kyunghyun Baek, Jeongho Bang, Jaewoo Joo,
• Abstract summary: We present a quantum-simulation framework that enables efficient estimation of transition rates in open quantum systems.<n>We validate our method on a spin-1/2 decoherence model using an IBM quantum processor.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 on a quantum computer.

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