Classical versus quantum errors in quantum computation of dynamical systems

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dc.creatorRossini, Davide
dc.creatorBenenti, Giuliano
dc.creatorCasati, Giulio
dc.date2004-05-31
dc.date.accessioned2026-07-07T06:09:49Z
dc.date.available2026-07-07T06:09:49Z
dc.descriptionWe analyze the stability of a quantum algorithm simulating the quantum dynamics of a system with different regimes, ranging from global chaos to integrability. We compare, in these different regimes, the behavior of the fidelity of quantum motion when the system's parameters are perturbed or when there are unitary errors in the quantum gates implementing the quantum algorithm. While the first kind of errors has a classical limit, the second one has no classical analogue. It is shown that, whereas in the first case (``classical errors'') the decay of fidelity is very sensitive to the dynamical regime, in the second case (``quantum errors'') it is almost independent of the dynamical behavior of the simulated system. Therefore, the rich variety of behaviors found in the study of the stability of quantum motion under ``classical'' perturbations has no correspondence in the fidelity of quantum computation under its natural perturbations. In particular, in this latter case it is not possible to recover the semiclassical regime in which the fidelity decays with a rate given by the classical Lyapunov exponent.
dc.description8 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0405189
dc.identifierhttp://arxiv.org/abs/quant-ph/0405189
dc.identifierPhys. Rev. E 70, 056216 (2004)
dc.identifierdoi:10.1103/PhysRevE.70.056216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92092
dc.subjectQuantum Physics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.titleClassical versus quantum errors in quantum computation of dynamical systems
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