Abstract
The prototype of a simultaneous measurement of position and momentum of a quantum particle was originally introduced by Arthurs and Kelly in 1965. It relies on coupling a quantum particle to two additional systems, which serve as measurement pointers. In this contribution, we start from the question for optimal pointers for such a setup. This allows us to identify a particular readout time with the help of a suitably chosen preparation energy of the measurement apparatus. Hence we find a natural connection between energy and time in a simultaneous measurement concept. Finally, our analysis sheds new light onto the distinctive role played by coherent states in quantum physics.
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