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We developed a measurement system that enables the reconstruction of {\gamma}-ray time spectra in cascade decay schemes. As this system records all the time and energy information of {\gamma}-rays, reconstruction is possible after the measurement. Therefore, the energy regions for the {\gamma}-ray identification can be optimized in complicated cascade decay schemes. Moreover, in this system we can record data with time-dependent parameters of external perturbations, such as applied magnetic fields, and consequently we can investigate the correlations and responses of {\gamma}-rays to the perturbation. This property fulfills the demands required for quantum information research with {\gamma}-rays.

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