dorsal/arxiv
View SchemaFidelity Decay Saturation Level for Initial Eigenstates
| Authors | Yaakov S. Weinstein, Joseph V. Emerson, Seth Lloyd, David G. Cory |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210063 |
| URL | https://arxiv.org/abs/quant-ph/0210063 |
| Journal | Quantum Information Processing 1, 439 (2003). |
Abstract
We show that the fidelity decay between an initial eigenstate state evolved under a unitary chaotic operator and the same eigenstate evolved under a perturbed operator saturates well before the 1/N limit, where $N$ is the size of the Hilbert space, expected for a generic initial state. We provide a theoretical argument and numerical evidence that, for intermediate perturbation strengths, the saturation level depends quadratically on the perturbation strength.
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"abstract": "We show that the fidelity decay between an initial eigenstate state evolved\nunder a unitary chaotic operator and the same eigenstate evolved under a\nperturbed operator saturates well before the 1/N limit, where $N$ is the size\nof the Hilbert space, expected for a generic initial state. We provide a\ntheoretical argument and numerical evidence that, for intermediate perturbation\nstrengths, the saturation level depends quadratically on the perturbation\nstrength.",
"arxiv_id": "quant-ph/0210063",
"authors": [
"Yaakov S. Weinstein",
"Joseph V. Emerson",
"Seth Lloyd",
"David G. Cory"
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"quant-ph"
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"journal_ref": "Quantum Information Processing 1, 439 (2003).",
"title": "Fidelity Decay Saturation Level for Initial Eigenstates",
"url": "https://arxiv.org/abs/quant-ph/0210063"
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