Radio-frequency (rf)-operated single-electron transistors (SETs) are high-sensitivity, fast-response electrometers, which are valuable for developing new insights into single-charge dynamics. We investigate high-frequency (up to 1 MHz) charge noise in an AlGaAs/GaAs quantum dot using a transmission-type rf-SET technique. The electron capture and emission kinetics on a trap in the vicinity of the quantum dot are dominated by a Poisson process. The maximum bandwidth for measuring single trapping events is about 1 MHz, which is the same as that required for observing single-electron tunneling oscillations in a measurable current (∼0.1 pA).A single electron transistor (SET) is a high-sensitivity electrometer that measures a small fraction of the elementary charge, e, on a small island [1]. If the island, or quantum dot atom, shows well-defined eigenstates in a zero-dimensional confinement potential, quantum mechanical effects found in atomic physics can be reproduced with tunable parameters [2]. The ability to control single-particle quantum states will be helpful for developing quantum logic gates [3][4][5]. So the dynamical behavior of charge states need to be studied for those interested. Most of the experiments have been done by taking the dc response from an ac modulation. However, direct measurement of the ac response of a single-particle state has not been done due to technical difficulties. Recently, a radio-frequency (rf) operated SET technique for following the fast response of the charge has been proposed and demonstrated by R. J. Schoelkopf et al. [6] . A bandwidth greater than 100 MHz would be useful for studying single-electron dynamics such as single-electron tunneling oscillation [7] and coherent charge oscillation [5], as well as for various sensors [8].In this letter, we describe an application of the rf-SET for detecting individual emission and capture events of a trap in a semiconductor. A modified rf-SET technique that measures the transmission of rf signals through a resonator, is also used for a quantum dot fabricated in an AlGaAs/GaAs heterostructure [9]. The charge noise of the quantum dot is studied both for low-frequency 1/f noise and for random telegraph signals (RTSs) originating from a trap near the dot. For a specific RTS, the statistics of the electron capture and emission are given by the Poisson process.The transmission-type rf-SET technique is shown schematically in Fig. 1(a). The SET, or quantum dot, is fabricated in an AlGaAs/GaAs modulation doped heterostructure using focused ion beam implantation and patterning of fine Schottky gates [10]. The two gate voltages, V L and V R , control the two tunneling barriers independently, and effectively lift the electrostatic potential of the dot. The SET is placed in an LC resonator (two inductors of 2L and one capacitor of C). Other lumped elements allow measurement of the dc current and rftransmission simultaneously. When the rf carrier signal V i e iωt is supplied at the resonant frequency, ω = 1 √ LC , to the resonator, a transmitted s...