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

• URL: http://arxiv.org/abs/2501.18522v1
• Date: Thu, 30 Jan 2025 17:39:10 GMT
• Title: Digital Quantum Simulations of the Non-Resonant Open Tavis-Cummings Model
• Authors: Aidan N. Sims, Dhrumil Patel, Aby Philip, Alex H. Rubin, Rahul Bandyopadhyay, Marina Radulaski, Mark M. Wilde,
• Abstract summary: As $N$ increases, it becomes harder to simulate the open Tavis-Cummings model using traditional methods. We implement two quantum algorithms for simulating the dynamics of this model in the inhomogenous, non-resonant regime. One of these algorithms is designing the sampling-based wave matrix Lindbladization algorithm.
• Score: 14.100929535767268
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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 inhomogenous, 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 $O(N^3)$. 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)]. Furthermore, we benchmark our results against a classical differential equation solver and demonstrate the ability to simulate classically intractable systems.

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