Demonstrating Quantum Zeno Effect on IBM Quantum Experience

TL;DR

This paper demonstrates the Quantum Zeno Effect by simulating a two-level quantum system on IBM's quantum platform, showing how repeated measurements can inhibit state evolution.

Contribution

First simulation of the Quantum Zeno Effect on IBM Quantum Experience, illustrating measurement-induced state preservation in a two-level system.

Findings

Survival probability increases with more intermediate measurements.

Simulation results align with theoretical predictions of QZE.

Ambiguity remains in the interpretation of the observed outcomes.

Abstract

Quantum Zeno Effect (QZE) has been one of the most interesting phenomena in quantum mechanics ever since its discovery in 1977 by Misra and Sudarshan [J. Math. Phys. \textbf{18}, 756 (1977)]. There have been many attempts for experimental realization of the same. Here, we present the first ever simulation of QZE on IBM quantum experience platform. We simulate a two-level system for Rabi-driven oscillation and then disturb the time evolution by intermediate repetitive measurements using quantum gates to increase the survival probability of the qubit in the initial state. The circuits are designed along with the added intermediate measurements and executed on IBM quantum simulator, and the outcomes are shown to be consistent with the predictions. The increasing survival probability with the number of intermediate measurements demonstrates QZE. Furthermore, some alternative explanations for the obtained results are provided which leads to some ambiguity in giving the exact reasoning for the observed outcomes.