• Corpus ID: 252595761

On Quantum Complexity

@inproceedings{Alishahiha2022OnQC,
  title={On Quantum Complexity},
  author={Mohsen Alishahiha},
  year={2022}
}
The ETH ansatz for matrix elements of a given operator in the energy eigenstate basis results in a notion of thermalization for a chaotic system. In this context for a certain quantity - to be found for a given model - one may impose a particular condition on its matrix elements in the energy eigenstate basis so that the corresponding quantity exhibit linear growth at late times. The condition is to do with a possible pole structure the corresponding matrix elements may have. Based on the… 

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Sectional curvatures distribution of complexity geometry

  • Qi-feng Wu
  • Mathematics
    Journal of High Energy Physics
  • 2022
In the geometric approach to defining complexity, operator complexity is defined as the distance in the operator space. In this paper, based on the analogy with the circuit complexity, the operator

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