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On the Harmonic approximation for large Josephson junction coupling charge qubits

arXiv:quant-ph/0409013 · doi:10.1088/0253-6102/43/5/006

Abstract

We revisit the harmonic approximation (HA) for a large Josephson junction interacting with some charge qubits through the variational approach for the quantum dynamics of the junction-qubit coupling system. By making use of numerical calculation and analytical treatment, the conditions under which HA works well can be precisely presented to control the parameters implementing the two-qubit quantum logical gate through the couplings to the large junction with harmonic oscillator (HO) Hamiltonian.

7 pages, 3 figures