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arXiv · 2211.02490

Derivation of Interacting Two-Qubit Dynamics from Spin-Boson Model

Hiroaki Matsueda·Yukiya Ide·Sadamichi Maekawa
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Abstract

We derive damping equations of motion for interacting two-spin states from a spin-boson model in order to examine qubit dynamics in quantum computers. On the basis of the composite operator method, we develop the Caldeira-Leggett approach for open quantum systems so that the entanglement dynamics originated from the two-spin correlation can be taken. We demonstrate numerical results for time dependence on the two-spin dynamics. We find that the relaxation of the total spin is described by a quantum version of the Landau-Lifshitz-Gilbert equation for magnetic materials. We also find that a two-spin composite mode keeps oscillation even after the total spin has been fully relaxed. We thus conclude that the two-spin correlation due to the presence of the composite mode is stable against dissipation. We consider the mechanism of why the correlation is maintained.

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Hiroaki Matsueda, Yukiya Ide, Sadamichi Maekawa. 2022-11-04. Derivation of Interacting Two-Qubit Dynamics from Spin-Boson Model. https://doi.org/10.7566/jpscp.38.011184

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