Quantum Computing of Quantum Chaos in the Kicked Rotator Model

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dc.creatorLevi, B.
dc.creatorGeorgeot, B.
dc.creatorShepelyansky, D. L.
dc.date2002-10-22
dc.date2003-02-12
dc.date.accessioned2026-07-07T06:05:17Z
dc.date.available2026-07-07T06:05:17Z
dc.descriptionWe 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.
dc.descriptionresearch at Quantware MIPS Center http://www.quantware.ups-tlse.fr, revtex 11 pages, 13 figs, 2 figs and discussion added
dc.identifierhttps://arxiv.org/abs/quant-ph/0210154
dc.identifierhttp://arxiv.org/abs/quant-ph/0210154
dc.identifierPhys. Rev. E 67, 046220 (2003)
dc.identifierdoi:10.1103/PhysRevE.67.046220
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90589
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectChaotic Dynamics
dc.titleQuantum Computing of Quantum Chaos in the Kicked Rotator Model
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