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Noise and quantum measurements in a circular Josephson array qubit

Joachim Sjöstrand, Anders Karlhede

DOI 10.1103/PhysRevB.69.024503 · Physical Review B

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Abstract

We study the decoherence and the quantum measurement of charge in a qubit consisting of a circular array of Josephson junctions. The two-level system we consider couples the two charge states through a higher-order tunneling process thus making it possible to achieve a long relaxation time. Using the spin-boson Hamiltonian, we estimate decoherence due to ohmic as well as 1/f noise. We simulate the quantum-mechanical measurement process by studying the density matrix of the qubit and a capacitively coupled single-electron transistor that measures the charge.

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