Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-10-31
Phys. Rev. B 74, 014514 (2006).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
16 pages, 20 figures; v2: minor revision
Scientific paper
10.1103/PhysRevB.74.014514
A complete analysis of the decoherence properties of a Josephson junction qubit is presented. The qubit is of the flux type and consists of two large loops forming a gradiometer and one small loop, and three Josephson junctions. The contributions to relaxation (T_1) and dephasing (T_\phi) arising from two different control circuits, one coupled to the small loop and one coupled to a large loop, is computed. We use a complete, quantitative description of the inductances and capacitances of the circuit. Including two stray capacitances makes the quantum mechanical modeling of the system five dimensional. We develop a general Born-Oppenheimer approximation to reduce the effective dimensionality in the calculation to one. We explore T_1 and T_\phi along an optimal line in the space of applied fluxes; along this "S line" we see significant and rapidly varying contributions to the decoherence parameters, primarily from the circuit coupling to the large loop.
Brito Frederico
DiVincenzo David P.
Koch Roger H.
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