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Izvestiya of Altai State University

Analysis of the Quantum Zeno Effect Application to Ensure the Stability of Qubits

Andrey A. Borisov, Anton A. Borisov, Timur F. Kamalov

Published Oct 14, 2026• 0 citations
Publisher

Abstract

The quantum Zeno effect lies in the suppression of the quantum system’s evolution due to frequent successive measurements, which leads to the inhibition of transitions between quantum states. The paper presumes that a qubit can be found in an excited state |1) or in the non-excited state |0). The work aims to investigate how the quantum Zeno effect can be applied to the stable excited state of a qubit to prevent its spontaneous transition to the state |0). An As atom is exploited as the physical realization of a qubit, and it is suggested to register its quantum state using the scanning probe microscopy methods. The work demonstrates the condition necessary for the occurrence of the quantum Zeno effect in the system under study. Calculation results show that the diameter of the excited-state As atom orbit is 1.5 times larger than the diameter of an unexcited atom orbit. This ratio serves as an experimental criterion for identifying the state of a qubit.

DOI
10.14258/izvasu(2026)4-02

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The quantum Zeno effect lies in the suppression of the quantum system’s evolution due to frequent successive measurements, which leads to the inhibition of transitions between quantum states. The paper presumes that a qubit can be found in an excited state |1) or in the non-excited state |0). The work aims to investigate how the quantum Zeno effect can be applied to the stable excited state of a qubit to prevent its spontaneous transition to the state |0). An As atom is exploited as the physical realization of a qubit, and it is suggested to register its quantum state using the scanning probe microscopy methods. The work demonstrates the condition necessary for the occurrence of the quantum Zeno effect in the system under study. Calculation results show that the diameter of the excited-state As atom orbit is 1.5 times larger than the diameter of an unexcited atom orbit. This ratio serves as an experimental criterion for identifying the state of a qubit.
Itano and co-workers [Wayne M. Itano, D. J. Heinzen, J. J. Bollinger, and D. J. Wineland, Phys. Rev. A 41, 2295 (1990)] have recently reported the experimental verification of the quantum Zeno effect, which is the inhibition of a quantum transition by frequent measurements. In this article, we offer an alternative interpretation of the quantum Zeno effect. We show that an analysis of the dynamics of the full three-level system gives the same result. There is no need to assume explicitly that the wave function has collapsed, nor even to assume that an ideal measurement has been made. In addition, we differentiate between what has been referred to as the quantum Zeno effect and what has been termed the quantum Zeno paradox. The former is the inhibition of induced transitions, and the latter is the, as yet experimentally unobserved, inhibition of spontaneous decay. Our interpretation, which emphasizes the ``measurement''-induced interruption of atomic-state coherences as the cause of inhibited quantum transitions, suggests a resolution to the quantum Zeno paradox. The theoretical limit of continuous observation is discussed.
Quantum Zeno effect can be applied to quantum information processing,and can reveal the nature of quantum measurement. In addition, it has also many potential applications. This suggests that studying the quantum Zeno effect has great theoretical and experimental significance. In this work, the system of a two-level atom interacting with a single mode field is considered and the dynamics of the system subjected to successive projection measurements is studied, and the quantum Zeno effect is presented. Moreover, the influence of the quantum Zeno effect on atomic population inversion is discussed. Based on Schrödinger equation, the survival probability of the initial state of the two-level atom subjected to frequently repeated measurements can be obtained. The survival probability depends on the time interval between measurements. It is seen that the exponential decay of the system under slowly frequent measurements is presented instead of the naturally oscillatory process. For slowly repeated measurements the atomic population inversion and the survival probability of initial state decline rapidly at the early time and then both of them become unchanged. As the time intervals of the measurements are sufficiently short, the quantum Zeno effect occurs. These results have also shown how the measurement can inhibit the atomic population inversion.
In this paper, we introduce a functional for the decoherence rate of a quantum system. The quantum system is modeled as a qubit that can be in the state |1〉, |0〉, or in a superposition. In addition to external dephasing and the Zeno attenuation rate acting on the quantum system, resource losses of the measuring channel are taken into account. It is shown that for the parameters corresponding to the limit of ideally frequent measurements in the quantum Zeno effect, the stability of the qubit state is not increased. The existence of optimal values of the measurement time interval and the measurement imperfection parameter is established; at these values, the decoherence rate of the qubit state reaches a minimum. Calculations show that in the case under consideration, the qubit coherence time increases by a factor of 11.5, which ensures an increase in the stability of the qubit state.
When a quantum state is subjected to frequent measurements, the time evolution of the quantum state is frozen. This is called the quantum Zeno effect. Here, we observe such an effect by performing frequent discrete measurements in a macroscopic quantum system, a superconducting quantum bit. The quantum Zeno effect induced by discrete measurements is similar to the original idea of the quantum Zeno effect. By using a Josephson bifurcation amplifier pulse readout, we have experimentally suppressed the time evolution of Rabi oscillation using projective measurements, and also observed the enhancement of the quantum state holding time by shortening the measurement period time. This is a crucial step to realize quantum information processing using the quantum Zeno effect.
It has been shown that the quantum Zeno effect can be used to inhibit the evolution of a quantum state, for example the transition of a particle of a two-state system would be hindered if it was observed frequently enough. The observations can be realized by an optical pulse source at very high pulse repetition rate. The effect could be used to realize the power amplification in RF or THz domain without population reversal because the simulated absorption from lower state could be suppressed. So far, some applications of Zeno effect have been demonstrated in a few material systems which are mostly gaseous state or trapped atoms or ions. In this paper we designed an experiment to show the Zeno effect in a solid-state material, i.e. bilayer graphene.