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Quantum Speed Limit Quantified by the Changing Rate of Phase
Shuning Sun1, Yonggang Peng1, Xianghong Hu1
1School of Physics, Shandong University, Jinan 250100, China.
Physical Review Letters
|September 17, 2021
Summary
We derived a new quantum speed limit bound applicable to both Hermitian and non-Hermitian quantum systems. This unified bound, based on phase change rate, offers tighter constraints on quantum evolution times.
Area of Science:
- Quantum physics
- Quantum information theory
Background:
- The quantum speed limit dictates the minimum time for quantum system evolution.
- Understanding these limits is crucial for advancing quantum technologies.
Purpose of the Study:
- To derive a novel, unified quantum speed limit bound.
- To encompass both Hermitian and non-Hermitian quantum systems.
- To provide deeper insights into quantum state evolution.
Main Methods:
- Derivation of a unified quantum speed limit bound.
- Quantification of the bound using the rate of change of quantum system phase.
- Analysis of the bound's implications for quantum state evolution modes.
Main Results:
- A new unified quantum speed limit bound is established.
- The bound is quantified by the phase change rate, reflecting state transmission.
- This bound offers tighter constraints and new insights into evolution feasibility.
Conclusions:
- The derived bound is universally applicable to Hermitian and non-Hermitian systems.
- It provides a more accurate and insightful measure of quantum evolution speed.
- The generalized Margolus-Levitin bound is also considered within this framework.
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