Dynamical localization simulated on a few-qubit quantum computer

Journal Article · Thu May 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.052312· OSTI ID:20636361

Benenti, Giuliano; Montangero, Simone ^[1]; Casati, Giulio ^[1]; Shepelyansky, Dima L ^[2]

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1. Center for Nonlinear and Complex Systems, Universita degli Studi dell'Insubria and Istituto Nazionale per la Fisica della Materia, Unita di Como, Via Valleggio 11, 22100 Como (Italy)
2. Laboratoire de Physique Quantique, UMR 5626 du CNRS, Universite Paul Sabatier, 31062 Toulouse Cedex 4 (France)

We show that a quantum computer operating with a small number of qubits can simulate the dynamical localization of classical chaos in a system described by the quantum sawtooth map model. The dynamics of the system is computed efficiently up to a time t{>=}l, and then the localization length l can be obtained with accuracy {nu} by means of order 1/{nu}{sup 2} computer runs, followed by coarse-grained projective measurements on the computational basis. We also show that in the presence of static imperfections, a reliable computation of the localization length is possible without error correction up to an imperfection threshold which drops polynomially with the number of qubits.

• OSTI ID: 20636361
• Journal Information: Physical Review. A, Vol. 67, Issue 5; Other Information: DOI: 10.1103/PhysRevA.67.052312; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
CHAOS THEORY
COMPUTERIZED SIMULATION
COMPUTERS
CORRECTIONS
ERRORS
FOURIER TRANSFORMATION
INFORMATION THEORY
LENGTH
QUANTUM MECHANICS