Circuit theory for decoherence in superconducting charge qubits

Details Circuit theory for decoherence in superconducting charge qubits Circuit theory for decoherence in superconducting charge qubits

2004-08-26

arxiv.org/abs/cond-mat/0408588v2

Phys. Rev. B 71, 144511 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 3 figures; v2: published version; typo in Eq.(30) corrected, minor changes, reference added

Scientific paper

10.1103/PhysRevB.71.144511

Based on a network graph analysis of the underlying circuit, a quantum theory of arbitrary superconducting charge qubits is derived. Describing the dissipative elements of the circuit with a Caldeira-Leggett model, we calculate the decoherence and leakage rates of a charge qubit. The analysis includes decoherence due to a dissipative circuit element such as a voltage source or the quasiparticle resistances of the Josephson junctions in the circuit. The theory presented here is dual to the quantum circuit theory for superconducting flux qubits. In contrast to spin-boson models, the full Hilbert space structure of the qubit and its coupling to the dissipative environment is taken into account. Moreover, both self and mutual inductances of the circuit are fully included.

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