Derivation of Interacting Two-Qubit Dynamics from Spin-Boson Model
- URL: http://arxiv.org/abs/2211.02490v1
- Date: Fri, 4 Nov 2022 14:41:24 GMT
- Title: Derivation of Interacting Two-Qubit Dynamics from Spin-Boson Model
- Authors: Hiroaki Matsueda, Yukiya Ide, Sadamichi Maekawa
- Abstract summary: We develop the Caldeira-Leggett approach for open quantum systems so that the entanglement dynamics originated from the two-spin correlation.
We find that the relaxation of the total spin is described by a quantum version of the Landau-Lifshitz-Gilbert equation for magnetic materials.
A two-spin composite mode keeps oscillation even after the total spin has been fully relaxed.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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