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quant-ph2026
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…
quant-ph2025
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…
quant-ph2024
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…