Quantum Zeno Limits at the Planck Time: Maximum Useful Measurement Rates for Qubit Control

This paper compares the quantum Zeno time of controlled quantum systems with the Planck time to determine whether a minimum time interval restricts measurement-based control. The Planck time is 5.391e-44 seconds. For a qubit splitting of one electronvolt the Zeno time is 6.582e-16 seconds, a factor 1.221e+28 larger. Even for splittings of ten kiloelectronvolts the Zeno time remains vastly longer than the Planck time. Measurement rates in any foreseeable control architecture are set by electronics and by the Zeno physics of the device itself, not by a fundamental minimum interval. The study is simulated and computed from stated assumptions; it is not a measurement.