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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
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.
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.
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