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The quantum Zeno effect is the prediction, going back to Alan Turing, thatthe decay of an unstable system can be slowed down by measuring it frequentlyenough. It was also noticed later that the opposite effect, i.e., enhancementof the decay due to frequent measurements, is rather common. An importantquestion arising in this regards is how to choose the optimal measurementstrategy to achieve the highest possible decay rate. Here we rigorously provethe universal optimality of the stroboscopic measurement protocol in the sensethat it always provides the shortest expected decay time among all measurementprocedures. However, the implementation of the stroboscopic protocol requiresthe knowledge of the optimal sampling period which may depend on the finedetails of the quantum problem. We show that this difficulty can be overcamewith the simple non-regular measurement procedures inspired by the scale-freerestart strategies used to speed up the completion of random search tasks andprobabilistic algorithms in computer science. Besides, our analysis reveals theuniversal criteria to discriminate between Zeno and anti-Zeno regimes for theunstable quantum systems under Poissonian measurements.

Optimal Measurement Protocols in Quantum Zeno Effect