Theory of open quantum dynamics with hybrid noise

Abstract

We develop a theory to describe dynamics of a non-stationary open quantum system interacting with a hybrid environment, which includes high-frequency and low-frequency noise components. One part of the system-bath interaction is treated in a perturbative manner, whereas the other part is considered exactly. This approach allows us to derive a set of master equations where the relaxation rates are expressed as convolutions of the Bloch-Redfield and Marcus formulas. Our theory enables analysis of systems that have extremely small energy gaps in the presence of a realistic environment. As an illustration, we apply the theory to the 16-qubit quantum annealing problem with dangling qubits and show good agreement with experimental results.

24 pages, 9 figures

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Cited by in corpus (15)

• Completely positive master equation for arbitrary driving and small level spacing
• Benchmarking Hamiltonian Noise in the D-Wave Quantum Annealer
• Synchronization and Non-Markovianity in open quantum systems
• Why and when is pausing beneficial in quantum annealing?
• Open system dynamics from thermodynamic compatibility
• HOQST: Hamiltonian Open Quantum System Toolkit
• High-quality Thermal Gibbs Sampling with Quantum Annealing Hardware
• Quantum thermo-dynamical construction for driven open quantum systems
• Optimal Control for Closed and Open System Quantum Optimization
• Breakdown of the weak coupling limit in quantum annealing
• Signatures of Open and Noisy Quantum Systems in Single-Qubit Quantum Annealing
• Classical simulation and theory of quantum annealing in a thermal environment
• Anneal-path correction in flux qubits
• Dissipative Landau-Zener tunneling in the crossover regime from weak to strong environment coupling
• Probing flux and charge noise with macroscopic resonant tunneling