According to quantum Zeno dynamics (QZD), the evolution of a quantum system can be restrictedto a subspace of its Hilbert space by frequent measurements. A crucial question in QZD of a particle’sposition is: how short the time interval between successive measurements should be, in order toconfine the particle in its initial spatial region? To address this question, we consider a toy model withtwo ions initially known to be, for simplicity, in a one-dimensional spatial region. By simulating theevolution of this two-body quantum system, we estimate the measurement frequency needed tokeep the ions within their initial confined region at a desired confidence level. Two key parameterswe employ in our calculations are the Zeno time and the leakage probability of the quantum system.The measurement frequencies are calculated and compared when ions are located initially at differentspatial regions. For our simulation, we introduce the Python code 2IonQZD.

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