Quantum reservoir computing in Jaynes-Cummings models: Nonlinear memory and time-series prediction

Abstract

We investigate quantum reservoir computing (QRC) using a hybrid qubit-boson system described by the Jaynes-Cummings (JC) Hamiltonian and its dispersive limit (DJC). These models provide high-dimensional Hilbert spaces and intrinsic nonlinear dynamics, making them powerful substrates for temporal information processing. We systematically benchmark both reservoirs through linear and nonlinear memory tasks, demonstrating that they exhibit an unusual superior nonlinear over linear memory capacity. We further test their predictive performance on the Mackey-Glass time series, a widely used benchmark for chaotic dynamics, and show comparable forecasting ability. We also investigate how memory and prediction accuracy vary with reservoir parameters, and show the role of higher-order bosonic observables and time multiplexing in enhancing expressivity, even in minimal spin-boson configurations. Our results establish JC- and DJC-based reservoirs as versatile platforms for time-series processing and as elementary units that overcome the setting of equivalent qubit pairs and offer pathways toward tunable, high-performance quantum machine learning architectures.

16 pages, 14 figures, published version

References in corpus (42)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Barren plateaus in quantum neural network training landscapes
• Recent Advances in Physical Reservoir Computing: A Review
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• Circuit Quantum Electrodynamics
• Harnessing disordered quantum dynamics for machine learning
• Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
• Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
• Beyond Barren Plateaus: Quantum Variational Algorithms Are Swamped With Traps
• Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
• Opportunities in Quantum Reservoir Computing and Extreme Learning Machines
• Boosting computational power through spatial multiplexing in quantum reservoir computing
• Perturbative treatment of inter-site couplings in the local description of open quantum networks
• Microscopic derivation of the Jaynes-Cummings model with cavity losses
• Quantum reservoir computing with a single nonlinear oscillator
• Dynamical phase transitions in quantum reservoir computing
• Quantum neuromorphic computing
• Temporal Information Processing on Noisy Quantum Computers
• QuTiP 5: The Quantum Toolbox in Python
• Time Series Quantum Reservoir Computing with Weak and Projective Measurements
• Gaussian states of continuous-variable quantum systems provide universal and versatile reservoir computing
• Broadband Filters for Abatement of Spontaneous Emission in Circuit Quantum Electrodynamics
• Information Processing Capacity of Spin-Based Quantum Reservoir Computing Systems
• Cavity losses for the dissipative Jaynes-Cummings Hamiltonian beyond Rotating Wave Approximation
• Scalable photonic platform for real-time quantum reservoir computing
• Dissipation as a resource for Quantum Reservoir Computing
• Feedback-driven quantum reservoir computing for time-series analysis
• Exploring quantum mechanical advantage for reservoir computing
• Microwave signal processing using an analog quantum reservoir computer
• Overcoming the Coherence Time Barrier in Quantum Machine Learning on Temporal Data
• Benchmarking the role of particle statistics in Quantum Reservoir Computing
• Retrieving past quantum features with deep hybrid classical-quantum reservoir computing
• Practical Few-Atom Quantum Reservoir Computing
• Genuine non-Gaussian entanglement of light and quantum coherence for an atom from noisy multiphoton spin-boson interactions
• Liouvillian skin effect in quantum neural networks
• Analytical solution of the open dispersive Jaynes-Cummings model and perturbative analytical solution of the open quantum Rabi model
• Quantum Reservoir Computing for Realized Volatility Forecasting
• High-Accuracy Temporal Prediction via Experimental Quantum Reservoir Computing in Correlated Spins
• Smarter Usage of Measurement Statistics Can Greatly Improve Continuous Variable Quantum Reservoir Computing
• Neural networks with quantum states of light