A universal approach to Krylov state and operator complexities

We present a general framework in which both Krylov state and operator complexities can be put on the same footing. In our formalism, the Krylov complexity is defined in terms of the density matrix of the associated state which, for the operator complexity, lives on a doubled Hilbert space obtained...

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Bibliographic Details
Main Author: Mohsen Alishahiha, Souvik Banerjee
Format: Article
Language:English
Published: SciPost 2023-09-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.15.3.080