Fractal Fidelity as a signature of Quantum Chaos
Quantum Physics
2009-11-13 v2
Abstract
We analyze the fidelity of a quantum simulation and we show that it displays fractal fluctuations iff the simulated dynamics is chaotic. This analysis allows us to investigate a given simulated dynamics without any prior knowledge. In the case of integrable dynamics, the appearance of fidelity fractal fluctuations is a signal of a highly corrupted simulation. We conjecture that fidelity fractal fluctuations are a signature of the appearance of quantum chaos. Our analysis can be realized already by a few qubit quantum processor.
Keywords
Cite
@article{arxiv.quant-ph/0701044,
title = {Fractal Fidelity as a signature of Quantum Chaos},
author = {Franco Pellegrini and Simone Montangero},
journal= {arXiv preprint arXiv:quant-ph/0701044},
year = {2009}
}
Comments
5 pages, 5 figures