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

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.

arXiv comment35 pages, 11 figures

References in corpus (39)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Quantum Simulation
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Superconducting Qubits: Current State of Play
• Quantum principal component analysis
• Preparation of Entangled States by Quantum Markov Processes
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Dissipative preparation of entanglement in optical cavities
• Simulation methods for open quantum many-body systems
• Faster quantum simulation by randomization
• Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups
• Digital quantum simulation of open quantum systems using quantum imaginary time evolution
• Scalable Dissipative Preparation of Many-Body Entanglement
• A Compact Fermion to Qubit Mapping
• Quantum transport efficiency and Fourier's law
• Photon blockade in weakly-driven cavity QED systems with many emitters
• Hamiltonian Simulation with Optimal Sample Complexity
• On-chip storage of broadband photonic qubits in a cavity-protected rare-earth ensemble
• Closed form solution of Lindblad master equations without gain
• Facilitated spin models of dissipative quantum glasses
• Quantum circuits for measuring weak values, Kirkwood--Dirac quasiprobability distributions, and state spectra
• Photon Blockade in Two-Emitter-Cavity Systems
• Towards near-term quantum simulation of materials
• Modeling quantum noise for efficient testing of fault-tolerant circuits
• Many-body cavity quantum electrodynamics with driven inhomogeneous emitters
• Two-Unitary Decomposition Algorithm and Open Quantum System Simulation
• Superdiffusive quantum stochastic walk definable of arbitrary directed graph
• Efficient simulation of sparse Markovian quantum dynamics
• Wave Matrix Lindbladization I: Quantum Programs for Simulating Markovian Dynamics
• Variational Renormalization Group for Dissipative Spin-Cavity Systems: Periodic Pulses of Nonclassical Photons from Mesoscopic Spin Ensembles
• Discovering optimal fermion-qubit mappings through algorithmic enumeration
• Wave Matrix Lindbladization II: General Lindbladians, Linear Combinations, and Polynomials
• Quantum Computing Simulation of a Mixed Spin-Boson Hamiltonian and Its Performance for a Cavity Quantum Electrodynamics Problem
• Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping
• Superradiance in dynamically modulated Tavis-Cumming model with spectral disorder
• Sample-based Hamiltonian and Lindbladian simulation: Non-asymptotic analysis of sample complexity
• Protecting information in a parametrically driven hybrid quantum system