Coupled Lindblad pseudomode theory for simulating open quantum systems

• URL: http://arxiv.org/abs/2506.10308v1
• Date: Thu, 12 Jun 2025 02:40:39 GMT
• Title: Coupled Lindblad pseudomode theory for simulating open quantum systems
• Authors: Zhen Huang, Gunhee Park, Garnet Kin-Lic Chan, Lin Lin,
• Abstract summary: We provide theoretical evidence that coupled pseudomodes only needs to scale as $mathrmlog$T/varepsilon)$T/varepsilon.<n>Inspired by the realization in control theory, we also develop a robust numerical algorithm for constructing $$varepsilon modes that avoids the non- optimization required by existing approaches.
• Score: 4.504072151606678
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Coupled Lindblad pseudomode theory is a promising approach for simulating non-Markovian quantum dynamics on both classical and quantum platforms, with dynamics that can be realized as a quantum channel. We provide theoretical evidence that the number of coupled pseudomodes only needs to scale as $\mathrm{polylog}(T/\varepsilon)$ in the simulation time $T$ and precision $\varepsilon$. Inspired by the realization problem in control theory, we also develop a robust numerical algorithm for constructing the coupled modes that avoids the non-convex optimization required by existing approaches. We demonstrate the effectiveness of our method by computing population dynamics and absorption spectra for the spin-boson model. This work provides a significant theoretical and computational improvement to the coupled Lindblad framework, which impacts a broad range of applications from classical simulations of quantum impurity problems to quantum simulations on near-term quantum platforms.

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