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Dynamical symmetry of two qubits in external fields with dipole – dipole interaction

Alexander V. Gorokhov, Samara National Research University named after academician S.P. Korolev, Samara, 443086, Russian Federation

George I. Eremenko, Samara National Research University named after academician S.P. Korolev, Samara, 443086, Russian Federation

Abstract

Applications of dynamical groups to the temporal dynamics of multilevel quantum systems in external fields are considered. Using the representation of coherent states (CS), it is shown that the time evolution of the state vector is reduced to the "classical" dynamics of complex parameters of the CS, taking values in the space of cosets of the dynamical group of the Hamiltonian. A particular case of the dynamics of two dipole-dipole interacting qubits used in the schemes of modern quantum informatics is studied in detail.

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Alexander V. Gorokhov
Samara University
Russia

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