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arXiv · 2501.18522

Digital Quantum Simulations of the Non-Resonant Open Tavis-Cummings Model

Aidan N. Sims·Dhrumil Patel·Aby Philip·Alex H. Rubin·Rahul Bandyopadhyay·Marina Radulaski·Mark M. Wilde
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Abstract

The open Tavis--Cummings model consists of $N$ quantum emitters interacting with a common cavity mode, accounts for losses and decoherence, and is frequently explored for quantum information processing and designing quantum devices. As $N$ increases, it becomes harder to simulate the open Tavis--Cummings model using traditional methods. To address this problem, we implement two quantum algorithms for simulating the dynamics of this model in the inhomogeneous, non-resonant regime, with up to three excitations in the cavity. We show that the implemented algorithms have gate complexities that scale polynomially, as $O(N^2)$ and $O(N^3)$, while the number of qubits used by these algorithms (space complexity) scales linearly as $O(N)$. One of these algorithms is the sampling-based wave matrix Lindbladization algorithm, for which we propose two protocols to implement its system-independent fixed interaction, resolving key open questions of [Patel and Wilde, Open Sys. & Info. Dyn., 30:2350014 (2023)]. We benchmark our results against a classical differential equation solver in a variety of scenarios and demonstrate that our algorithms accurately reproduce the expected dynamics.

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BibTeXRIS

Aidan N. Sims, Dhrumil Patel, Aby Philip, Alex H. Rubin, Rahul Bandyopadhyay, Marina Radulaski, Mark M. Wilde. 2025-01-30. Digital Quantum Simulations of the Non-Resonant Open Tavis-Cummings Model. https://doi.org/10.1103/yflv-3s7t

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