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The generation of time signals is a fundamental task in science. Here westudy the relation between the quality of a time signal and the physics of thesystem that generates it. According to quantum theory, any time signal can bedecomposed into individual quanta that lead to single detection events. Ourmain result is a bound on how sharply peaked in time these events can be, whichdepends on the dimension of the signal generator. This result promisesapplications in various directions, including information theory, quantumclocks, and process simulation.

Ultimate limit on time signal generation