Dynamical localization simulated on a few qubits quantum computer

Details Dynamical localization simulated on a few qubits quantum computer Dynamical localization simulated on a few qubits quantum computer

2002-10-08

arxiv.org/abs/quant-ph/0210052v1

Phys. Rev. A 67, 052312 (2003)

Physics

Quantum Physics

8 pages, 8 figures

Scientific paper

10.1103/PhysRevA.67.052312

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 $t\geq \ell$, and then the localization length $\ell$ can be obtained with accuracy $\nu$ by means of order $1/\nu^2$ 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.

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