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Exposing hypersensitivity in quantum chaotic dynamics
Andrzej Grudka1, Paweł Kurzyński1, Adam S Sajna2
1Institute of Spintronics and Quantum Information, Faculty of Physics, Adam Mickiewicz University, 61-614 Poznań, Poland.
Physical Review. E
|January 20, 2024
Summary
This study reveals hypersensitivity to initial conditions in multiqubit systems, using a quantum state metric to detect quantum chaos. The findings align with classical chaos signatures, offering new insights into quantum dynamics.
Area of Science:
- Quantum physics
- Quantum information science
- Chaos theory
Background:
- Hypersensitivity to initial-state perturbation is a hallmark of chaotic systems.
- Understanding this phenomenon in quantum systems is crucial for quantum computing and information processing.
- The quantum kicked top is a well-established model for studying quantum chaos.
Purpose of the Study:
- To investigate hypersensitivity to initial-state perturbation in unitary dynamics of multiqubit systems.
- To apply a quantum state metric, analogous to a quantum Hamming distance, for detecting quantum chaos.
- To compare the quantum metric's performance with classical chaos signatures.
Main Methods:
- Utilizing a multiqubit implementation of the quantum kicked top model.
- Employing the quantum state metric developed by Girolami and Anza.
- Analyzing the system's dynamics under varying initial conditions.
Main Results:
- Confirmed that hypersensitivity in the quantum kicked top corresponds to known signatures of quantum chaos.
- Demonstrated the efficacy of the quantum state metric in detecting quantum chaos.
- Showcased the metric's ability to identify quantum chaos under conditions analogous to the classical regime.
Conclusions:
- The quantum state metric effectively detects quantum chaos in multiqubit systems.
- Hypersensitivity to initial conditions in quantum systems can be quantitatively assessed.
- This approach bridges the understanding of quantum and classical chaos through a unified metric.
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