Q-MARINA: Quantum Mapping Algorithm for a Resonator Interacting with N Atoms

Tavis-Cummings (TC) cavity quantum electrodynamical effects in the low excitation regime are at the core of atomic, optical and solid state physics. The classical modeling of the open quantum TC systems is often limited to low-dimensional Hilbert spaces. Mapping this dynamic to a quantum circuit can expand the size of the system proportionally to the number of available qubits. We develop a gate-based quantum algorithm that simulates a system of two atoms in a resonant cavity. Subsequently, we devise a recipe for a quantum circuit that can model open quantum TC system of an arbitrary size.