Fractal Fidelity as a signature of Quantum Chaos

Details Fractal Fidelity as a signature of Quantum Chaos Fractal Fidelity as a signature of Quantum Chaos

2007-01-09

arxiv.org/abs/quant-ph/0701044v2

Phys. Rev. A 76, 052327 (2007)

Physics

Quantum Physics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevA.76.052327

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.

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