4 papers
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…
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…