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Fidelity Decay Saturation Level for Initial Eigenstates

Yaakov S. Weinstein·Joseph V. Emerson·Seth Lloyd·David G. Cory
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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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Yaakov S. Weinstein, Joseph V. Emerson, Seth Lloyd, David G. Cory. 2002-10-09. Fidelity Decay Saturation Level for Initial Eigenstates. https://arxiv.org/abs/quant-ph/0210063

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