Quantum Computing and Information Extraction for Dynamical Quantum Systems View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2005

AUTHORS

Giuliano Benenti , Giulio Casati , Simone Montangero

ABSTRACT

We discuss the simulation of complex dynamical systems on a quantum computer. We show that a quantum computer can be used to efficiently extract relevant physical information. It is possible to simulate the dynamical localization of classical chaos and extract the localization length 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. The so-called quantum sawtooth map model is used as a test bench to illustrate these results. More... »

PAGES

273-293

Book

TITLE

Experimental Aspects of Quantum Computing

ISBN

978-0-387-23045-0

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/0-387-27732-3_17

DOI

http://dx.doi.org/10.1007/0-387-27732-3_17

DIMENSIONS

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