An Anisotropic Landau-Lifschitz-Gilbert model of dissipation in qubits

Abstract

We derive a microscopic model for dissipative dynamics in a system of mutually interacting qubits coupled to a thermal bath that generalises the dissipative model of Landau-Lifschitz-Gilbert to the case of anisotropic bath couplings. We show that the dissipation acts to bias the quantum trajectories towards a reduced phase space. This model applies to a system of superconducting flux qubits whose coupling to the environment is necessarily anisotropic. We study the model in the context of the D-Wave computing device and show that the form of environmental coupling in this case produces dynamics that are closely related to several models proposed on phenomenological grounds.

12 pages, 10 figures

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• Error suppression in adiabatic quantum computing with qubit ensembles
• Signatures of Open and Noisy Quantum Systems in Single-Qubit Quantum Annealing
• Structural scale $q-$derivative and the LLG-Equation in a scenario with fractionality
• Localization transition induced by programmable disorder
• Dissipative failure of adiabatic quantum transport as a dynamical phase transition
• Validating a Two Qubit Non-Stoquastic Hamiltonian in Quantum Annealing
• Partial thermalisation of a two-state system coupled to a finite quantum bath