Full Frequency Back-Action Spectrum of a Single Electron Transistor during Qubit read-out

Abstract

We calculate the spectral density of voltage fluctuations in a Single Electron Transistor (SET), biased to operate in a transport mode where tunneling events are correlated due to Coulomb interaction. The whole spectrum from low frequency shot noise to quantum noise at frequencies comparable to the SET charging energy $(E_C/\hslash )$ is considered. We discuss the back-action during read-out of a charge qubit and conclude that single-shot read-out is possible using the Radio-Frequency SET.

4 pages, 5 figures, submitted to PRL

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