3 papers
quant-ph2026
Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation
Reuben Demirdjian, Thomas Hogancamp, Abeynaya Gnanasekaran +2
Nonlinear ordinary and partial differential equations are ubiquitous in science and engineering, yet finding their solutions is often computationally intractable for classical hard…
quant-ph2025
Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things
Abeynaya Gnanasekaran, Amit Surana
We present a novel framework for Linear Combination of Unitaries (LCU)-style decomposition tailored to structured sparse matrices, which frequently arise in the numerical solution…
quant-ph2024
Variational Quantum Framework for Nonlinear PDE Constrained Optimization Using Carleman Linearization
Abeynaya Gnanasekaran, Amit Surana, Hongyu Zhu
We present a novel variational quantum framework for nonlinear partial differential equation (PDE) constrained optimization problems. The proposed work extends the recently introdu…