Journal
PHYSICAL REVIEW LETTERS
Volume 128, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.128.150601
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Funding
- Australian Research Council Future Fellowships [FT160100073, FT160100244, FT200100619]
- Australian Research Council Centre of Excellence in Future Low-Energy Electronics Technologies [CE170100039]
- Australian Research Council [DP210100597, DP220101793]
- Australian Research Council [FT200100619] Funding Source: Australian Research Council
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Motivated by the famous ink-drop experiment, the study proposes an experimentally implementable method for measuring the scrambling capacity of quantum processes. The researchers introduce a fully quantum version of the out of-time-order correlator, called the out-of-time-order tensor, which provides clear information about the chaoticity of a process.
Motivated by the famous ink-drop experiment, where ink droplets are used to determine the chaoticity of a fluid, we propose an experimentally implementable method for measuring the scrambling capacity of quantum processes. Here, a system of interest interacts with a small quantum probe whose dynamical properties identify the chaoticity of the system. Specifically, we propose a fully quantum version of the out of-time-order correlator-which we term the out-of-time-order tensor-whose correlations offer clear information theoretic meanings about the chaoticity of a process. We illustrate the utility of the out-of-time order tensor as a signature of chaos using random unitary processes as well as in the quantum kicked rotor, where the chaoticity is tunable.
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