dorsal/arxiv
View SchemaFractal Fidelity as a signature of Quantum Chaos
| Authors | Franco Pellegrini, Simone Montangero |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701044 |
| URL | https://arxiv.org/abs/quant-ph/0701044 |
| DOI | 10.1103/PhysRevA.76.052327 |
| Journal | Phys. Rev. A 76, 052327 (2007) |
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.
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"abstract": "We analyze the fidelity of a quantum simulation and we show that it displays\nfractal fluctuations iff the simulated dynamics is chaotic. This analysis\nallows us to investigate a given simulated dynamics without any prior\nknowledge. In the case of integrable dynamics, the appearance of fidelity\nfractal fluctuations is a signal of a highly corrupted simulation. We\nconjecture that fidelity fractal fluctuations are a signature of the appearance\nof quantum chaos. Our analysis can be realized already by a few qubit quantum\nprocessor.",
"arxiv_id": "quant-ph/0701044",
"authors": [
"Franco Pellegrini",
"Simone Montangero"
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"quant-ph"
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"doi": "10.1103/PhysRevA.76.052327",
"journal_ref": "Phys. Rev. A 76, 052327 (2007)",
"title": "Fractal Fidelity as a signature of Quantum Chaos",
"url": "https://arxiv.org/abs/quant-ph/0701044"
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