Journal
QUANTUM INFORMATION PROCESSING
Volume 1, Issue 6, Pages 439-448Publisher
SPRINGER
DOI: 10.1023/A:1024018431394
Keywords
Quantum chaos; fidelity decay; local density of states
Funding
- DARPA
- NSF
- Cambridge-MIT Institute
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We show that the fidelity decay between an initial eigenstate evolved under a unitary chaotic operator and the same eigenstate evolved under a perturbed operator saturates well before the 1/N limit expected for a generic initial state, where N is the dimension of the Hilbert space. We provide a theoretical argument and numerical evidence that, for perturbations of intermediate strength, the saturation level depends quadratically on the perturbation strength.
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