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We calculate the spectral density of voltage fluctuations in a SingleElectron Transistor (SET), biased to operate in a transport mode wheretunneling events are correlated due to Coulomb interaction. The whole spectrumfrom low frequency shot noise to quantum noise at frequencies comparable to theSET charging energy $(E_{C}/\hbar)$ is considered. We discuss the back-actionduring read-out of a charge qubit and conclude that single-shot read-out ispossible using the Radio-Frequency SET.Comment: 4 pages, 5 figures, submitted to PR

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