dorsal/arxiv
View SchemaQuantum Computing of Quantum Chaos in the Kicked Rotator Model
| Authors | B. Levi, B. Georgeot, D. L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210154 |
| URL | https://arxiv.org/abs/quant-ph/0210154 |
| DOI | 10.1103/PhysRevE.67.046220 |
| Journal | Phys. Rev. E 67, 046220 (2003) |
Abstract
We investigate a quantum algorithm which simulates efficiently the quantum kicked rotator model, a system which displays rich physical properties, and enables to study problems of quantum chaos, atomic physics and localization of electrons in solids. The effects of errors in gate operations are tested on this algorithm in numerical simulations with up to 20 qubits. In this way various physical quantities are investigated. Some of them, such as second moment of probability distribution and tunneling transitions through invariant curves are shown to be particularly sensitive to errors. However, investigations of the fidelity and Wigner and Husimi distributions show that these physical quantities are robust in presence of imperfections. This implies that the algorithm can simulate the dynamics of quantum chaos in presence of a moderate amount of noise.
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"abstract": "We investigate a quantum algorithm which simulates efficiently the quantum\nkicked rotator model, a system which displays rich physical properties, and\nenables to study problems of quantum chaos, atomic physics and localization of\nelectrons in solids. The effects of errors in gate operations are tested on\nthis algorithm in numerical simulations with up to 20 qubits. In this way\nvarious physical quantities are investigated. Some of them, such as second\nmoment of probability distribution and tunneling transitions through invariant\ncurves are shown to be particularly sensitive to errors. However,\ninvestigations of the fidelity and Wigner and Husimi distributions show that\nthese physical quantities are robust in presence of imperfections. This implies\nthat the algorithm can simulate the dynamics of quantum chaos in presence of a\nmoderate amount of noise.",
"arxiv_id": "quant-ph/0210154",
"authors": [
"B. Levi",
"B. Georgeot",
"D. L. Shepelyansky"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.67.046220",
"journal_ref": "Phys. Rev. E 67, 046220 (2003)",
"title": "Quantum Computing of Quantum Chaos in the Kicked Rotator Model",
"url": "https://arxiv.org/abs/quant-ph/0210154"
},
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