5 citations · 8 across the 11 of their papers we have counts for
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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…
Variational Quantum Framework for Partial Differential Equation Constrained Optimization
Amit Surana, Abeynaya Gnanasekaran
We present a novel variational quantum framework for linear partial differential equation (PDE) constrained optimization problems. Such problems arise in many scientific and engine…
Efficient Variational Quantum Linear Solver for Structured Sparse Matrices
Abeynaya Gnanasekaran, Amit Surana
We develop a novel approach for efficiently applying variational quantum linear solver (VQLS) in context of structured sparse matrices. Such matrices frequently arise during numeri…
On the Emergence of Ergodic Dynamics in Unique Games
Tuhin Sahai, Abeynaya Gnanasekaran
The Unique Games Conjecture (UGC) constitutes a highly dynamic subarea within computational complexity theory, intricately linked to the outstanding P versus NP problem. Despite mu…