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The Quantum Zeno Capacity and Dynamic Evolution Mode of a Quantum System.

Zhenbo Ni1, Yonggang Peng1, Yujun Zheng1

  • 1School of Physics, Shandong University, Jinan 250100, China.

Entropy (Basel, Switzerland)
|January 8, 2025
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Summary

This study introduces the quantum Zeno factor to quantify a quantum system's capacity for the quantum Zeno effect (QZE). This factor reveals QZE depends on quantum state evolution, extending its applicability in quantum engineering.

Keywords:
quantum Zeno effectquantum Zeno factorquantum engineering

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Area of Science:

  • Quantum Physics
  • Quantum Engineering
  • Quantum Information Science

Background:

  • The quantum Zeno effect (QZE) is crucial in quantum engineering for stabilizing quantum systems via frequent measurements.
  • Understanding and quantifying the QZE's capacity is essential for its effective application.

Purpose of the Study:

  • Introduce a novel metric, the quantum Zeno factor, to characterize the quantum Zeno capacity of quantum systems.
  • Investigate the dependence of the quantum Zeno effect on quantum state evolution modes.

Main Methods:

  • Developed the quantum Zeno factor as a quantitative measure of QZE capacity.
  • Analyzed the relationship between the quantum Zeno factor and conventional energy uncertainty.
  • Applied the quantum Zeno factor to model dynamic evolution in a three-level system and message exchange in coupled qubits.

Main Results:

  • The quantum Zeno factor demonstrates that QZE is primarily dependent on the evolution mode of quantum states.
  • The quantum Zeno effect's domain is extended, showing semi-irrelevance to traditional energy uncertainty.
  • Numerical results illustrate the utility of the quantum Zeno factor in analyzing quantum systems.

Conclusions:

  • The quantum Zeno factor offers a new framework for assessing a quantum system's (anti-)Zeno capacity.
  • A high quantum Zeno factor value signifies a quantum system possesses strong QZE qualities, beneficial for quantum engineering applications.