58 citations · 78 across the 6 of their papers we have counts for
6 papers · 1 filter
A geodesic distance interpretation of Lanczos coefficients
Le-Chen Qu
We study the spread complexity of the infinite-temperature thermofield double state in large- random matrix theory and investigate the physical meaning of its Lanczos coefficien…
Recursion Coefficients and Krylov Dynamics in Polynomial Random Matrix Models
Juan F. Pedraza, Le-Chen Qu
We study the recursion coefficients of orthogonal polynomials and their associated Krylov dynamics in random matrix models with high-degree and possibly asymmetric polynomial poten…
Quantum chaos and late-time equipartition of symmetry-resolved Krylov complexity
Jayashish Das, Suman Das, Juan F. Pedraza +1
We study symmetry-resolved Krylov complexity in finite-dimensional chaotic quantum many-body systems. When both the Hamiltonian and the initial operator commute with a conserved ch…
Explicit Connections Between Krylov and Nielsen Complexity
Ben Craps, Gabriele Pascuzzi, Juan F. Pedraza +2
We establish a direct correspondence between Krylov and Nielsen complexity by choosing the Krylov basis to be part of the elementary gate set of Nielsen geometry and selecting a Ni…
Kasner interiors from analytic hairy black holes
Daniel Areán, Hyun-Sik Jeong, Juan F. Pedraza +1
We conduct an exhaustive study of the interior geometry of a family of asymptotically AdS hairy black holes in an analytically controllable setup. The black holes are exact…
Krylov complexity of density matrix operators
Pawel Caputa, Hyun-Sik Jeong, Sinong Liu +2
Quantifying complexity in quantum systems has witnessed a surge of interest in recent years, with Krylov-based measures such as Krylov complexity () and Spread complexity ($C_…