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Quantum computing of quantum chaos in the kicked rotator model
B Lévi1, B Georgeot, D L Shepelyansky
1Laboratoire de Physique Quantique, UMR 5626 du CNRS, Université Paul Sabatier, F-31062 Toulouse Cedex 4, France.
Summary
This study explores a quantum algorithm simulating the quantum kicked rotator model. Despite some quantities being error-sensitive, key measures show robustness against noise, enabling quantum chaos simulations.
Area of Science:
- Quantum simulation
- Quantum chaos
- Condensed matter physics
Background:
- The quantum kicked rotator model is a key system for studying quantum chaos.
- Understanding electron localization and atomic physics requires efficient simulation methods.
- Quantum algorithms offer a path to simulate complex quantum systems.
Purpose of the Study:
- To investigate a quantum algorithm for simulating the quantum kicked rotator model.
- To assess the impact of gate operation errors on the algorithm's performance.
- To determine the robustness of physical quantities under noisy conditions.
Main Methods:
- Numerical simulations of the quantum algorithm with up to 20 qubits.
- Analysis of various physical quantities, including probability distribution moments and tunneling transitions.
- Evaluation of fidelity, Wigner, and Husimi distributions to assess error resilience.
Main Results:
- Certain physical quantities, like the second moment of probability distribution and tunneling transitions, are sensitive to errors.
- Fidelity and distributions (Wigner, Husimi) demonstrate robustness against imperfections.
- The quantum algorithm shows potential for simulating quantum chaos dynamics with moderate noise.
Conclusions:
- The quantum algorithm is capable of simulating the quantum kicked rotator model efficiently.
- Error analysis reveals specific sensitivities and robust features of the simulation.
- The findings support the use of this algorithm for studying quantum chaos in the presence of noise.
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