From the 1 of 10 linked papers with an AI index.
10 papers
Krylov-Space Memory Cores
Mohsen Alishahiha, Mohammad Javad Vasli
The paper defines Krylov-space memory cores as stationary, depth‑resolved structures that pinpoint where anomalous quantum memory persists in the Krylov space of otherwise thermali…
Krylov Distribution and Spectral Convergence of Quantum Fisher Information
Mohsen Alishahiha, Fatemeh Tarighi Tabesh, Mohammad Javad Vasli
We establish a direct correspondence between the Krylov hierarchy of quantum Fisher information (QFI) and a Krylov-resolved decomposition of the symmetric logarithmic derivative (S…
Krylov Distribution
Mohsen Alishahiha, Mohammad Javad Vasli
We introduce the Krylov distribution , a static Krylov-space diagnostic that characterizes how inverse-energy response is organized in Hilbert space. The central o…
The Exact Uncertainty Relation and Geometric Speed Limits in Krylov Space
Mohsen Alishahiha, Souvik Banerjee
We show that Hall's exact uncertainty relation acquires a simple geometric form in the Krylov basis generated by the Liouvillian. In this canonical operator frame, the uncertainty…
Timelike Holographic Complexity
Mohsen Alishahiha
Motivated by the pseudo-entropy program, we study timelike subregion complexity within the holographic Complexity-equal-Volume framework, extending previous spatial constructions t…
On Krylov Complexity as a Probe of the Quantum Mpemba Effect
Mohsen Alishahiha, Mohammad Javad Vasli
We investigate Krylov state complexity as a probe of the quantum Mpemba effect in quantum spin chains. For models without global symmetry, Krylov complexity exhibits clear M…