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

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 inhomogenous, non-resonant regime. We show that the algorithms we implement have sample and gate complexities that scale roughly quadratically with N. One of these algorithms is the sampling-based Wave Matrix Lindbladization algorithm, for which we construct its fixed interaction and implementation on multi-qubit registers, resolving key open questions of [Patel and Wilde, Open Sys. & Info. Dyn., 30:2350014 (2023)]. Furthermore, we benchmark our results against a classical differential equation solver and demonstrate ability to expand the parameter space by running our algorithms on systems in the analytically intractable range.