5 papers
Trapped-ion quantum simulation of the Fermi-Hubbard model as a lattice gauge theory using hardware-aware native gates
Dhruv Srinivasan, Alex Beyer, Daiwei Zhu +8
The Fermi-Hubbard model (FHM) is a simple yet rich model of strongly interacting electrons with complex dynamics and a variety of emerging quantum phases. These properties make it…
On Linear Convergence of PI Consensus Algorithm under the Restricted Secant Inequality
Kushal Chakrabarti, Mayank Baranwal
This paper considers solving distributed optimization problems in peer-to-peer multi-agent networks. The network is synchronous and connected. By using the proportional-integral (P…
Distributed Optimization via Energy Conservation Laws in Dilated Coordinates
Mayank Baranwal, Kushal Chakrabarti
Continuous-time models can reveal accelerated structures in distributed optimization, but their rates need not survive direct discretization. We introduce a second-order primal--du…
A Methodology Establishing Linear Convergence of Adaptive Gradient Methods under PL Inequality
Kushal Chakrabarti, Mayank Baranwal
Adaptive gradient-descent optimizers are the standard choice for training neural network models. Despite their faster convergence than gradient-descent and remarkable performance i…
On Convergence of the Iteratively Preconditioned Gradient-Descent (IPG) Observer
Kushal Chakrabarti, Nikhil Chopra
This paper considers the observer design problem for discrete-time nonlinear dynamical systems with sampled measurement data. Earlier, the recently proposed Iteratively Preconditio…