4 papers
Krylov Complexity in Periodically Driven CFTs and Critical Fermions
Ankit Gill, Anurag Sarkar
We study Krylov construction in periodically driven conformal field theories and their lattice realisations via critical fermions. Two types of driving are considered: a square-wav…
Loss-aware state space geometry for quantum variational algorithms
Ankit Gill, Kunal Pal
The natural gradient descent optimisation technique is an efficient optimising protocol for broad classes of classical and quantum systems that takes the underlying geometry of the…
Geometry of quantum states in random matrix ensembles and the chaos-integrability transition
Ankit Gill, Keun-Young Kim, Kunal Pal +1
We consider the geometry of quantum states associated with random matrix Hamiltonians belonging to ensembles that exhibit an integrable-to-chaotic transition in terms of the neares…
Speed Limits and Scrambling in Krylov Space
Ankit Gill, Tapobrata Sarkar
We investigate the relationship between Krylov complexity and operator quantum speed limits (OQSLs) of the complexity operator and level repulsion in random/integrable matrices and…