8 papers
Spectral Topology and Universal Krylov Dynamics
Jeff Murugan, Hendrik J. R. Van Zyl, Masataka Watanabe
The leading asymptotic growth of Lanczos coefficients is controlled by spectral tails and furnishes a coarse classification of Krylov dynamics. We show that the \textit{global topo…
On the Universality of Probe Complexity in SYM
Eric L. Graef, Jeff Murugan, Horatiu Nastase +1
We investigate Krylov complexity for single-trace operators dual to open strings attached to giant gravitons in planar super Yang-Mills theory. We show that in prot…
A Quantum Computational Perspective on Spread Complexity
Cameron Beetar, Eric L Graef, Jeff Murugan +2
We establish a direct connection between spread complexity and quantum circuit complexity by demonstrating that spread complexity emerges as a limiting case of a circuit complexity…
Krylov complexity from a simple quantum mechanical model for a radiating black hole
Eric L Graef, Jeff Murugan, Horatiu Nastase +1
We investigate Krylov complexity in a simple quantum mechanical model describing a black hole coupled to its radiation. The model is constructed as a simplified ``mini-BMN" matrix…
Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems
Arpan Bhattacharyya, S. Shajidul Haque, Jeff Murugan +2
In closed quantum systems, Krylov complexity admits a geometric description; operator growth is equivalent to Hamiltonian flow in an emergent phase space whose structure is fixed b…
Krylov complexity, path integrals, and instantons
Cameron Beetar, Eric L Graef, Jeff Murugan +2
Krylov complexity has emerged as an important tool in the description of quantum information and, in particular, quantum chaos. Here we formulate Krylov complexity for quant…