2004/02/02 by Giuliano Benenti, Giulio Casati, Simone Montangero
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum chaos and dynamical systems #cond-mat.other #nlin.CD #quant-ph
paper · pdf · doi:10.1007/s11128-004-0415-2
published as Quantum Information Processing 3, 273 (2004) · 11 pages, 5 figures, submitted to Quantum Information Processing, Special Issue devoted to the Physics of Quantum Computing
arxiv created 2004/02/02 · openalex publication_date 2004/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the simulation of a complex dynamical system, the so-called quantum sawtooth map model, on a quantum computer. We show that a quantum computer can be used to efficiently extract relevant physical information for this model. It is possible to simulate the dynamical localization of classical chaos and extract the localization length of the system with quadratic speed up with respect to any known classical computation. We can also compute with algebraic speed up the diffusion coefficient and the diffusion exponent both in the regimes of Brownian and anomalous diffusion. Finally, we show that it is possible to extract the fidelity of the quantum motion, which measures the stability of the system under perturbations, with exponential speed up.