Computational Approach to the Quantum Zeno Effect

J. D. Franson

Hiromichi Nakazato, Mikio Namiki, Saverio Pascazio +1 more

J. G. Esteve, Fernando Falceto

We present an approximate implementation of the quantum Zeno effect (QZE) in a quantum computer as an example of the relation between this effect and the bang-bang decoupling method in control theory. Although the true QZE cannot be strictly implemented on a quantum computer, where all the operations, except the final measurements, must be unitary, we can mimic it by coupling the system to a number of ancillas and replacing the projective measurements of the QZE by suitable unitary gates.

Asao Arai, Toru Fuda

Zhuo‐Liang Cao

As we know,quantum Zeno effect may appear when frequent measurements are performed on an unstable quantum system.This effect is well popular in quantum information and quantum computation.However,most of the previous discussions on quantum Zeno effect were focused on two-level systems.In order to comprehend quantum Zeno effect and prevent the transition in different quantum systems better,we verified the existence of quantum Zeno effect in three-level systems.Furthermore,the existence of quantum Zeno effect in multilevel systems could also be fully verified similarly.

Sacha Greenfield, Archana Kamal, Justin Dressel +1 more

The quantum Zeno effect is a striking feature of quantum mechanics with foundational implications and practical applications in quantum control, error suppression, and error correction. In recent years, the effect has branched off into a variety of different interpretations, making it easy to miss its underlying unifying features. In particular, the quantum Zeno effect has been studied in the context of both selective and nonselective measurements; for both pulsed and continuous interactions; for suppression and enhancement of decay (Zeno / anti-Zeno effects); and even in the absence of measurement entirely. This tutorial presents a unified picture of these effects by examining how they all arise in the pedagogical example of a driven qubit subjected to measurements or dissipation. Zeno and anti-Zeno effects appear as regimes of a unified effect that appears when a measurement-like process competes with non-commuting evolution. The current landscape of Zeno and anti-Zeno effects is examined through this unifying lens, with a focus on experimental applications and implementations. Thus, this tutorial is ideal for new researchers interested in learning about cutting-edge tools in quantum control and measurement, while remaining highly relevant to quantum computing specialists aiming to understand the quantum Zeno effect's applications in adjacent subfields or apply it in a novel way in their own research. The quantum Zeno effect is found to be both ubiquitous and essential for the future of near-term quantum computing.