5 papers
Time evolution of nonlinear dynamics on a quantum processor
José Diogo da Costa Jesus, Abhishek Setty, Tommaso Calarco +3
From fluid flow and transport to collective dynamics, numerical simulation of nonlinear partial differential equations underpins modern scientific computing. Extending this capabil…
A Quantum Linear Systems Pathway for Solving Differential Equations
Abhishek Setty
We present a systematic pathway for solving differential equations within the quantum linear systems framework by combining block encoding with Quantum Singular Value Transformatio…
Block Encoding of Sparse Matrices via Coherent Permutation
Abhishek Setty
Block encoding of sparse matrices underpins powerful quantum algorithms such as quantum singular value transformation, Hamiltonian simulation, and quantum linear solvers, yet its e…
Particle Trajectory Prediction in Discrete Element Simulations using a Graph-Based Interaction-Aware Model
Abhishek Setty, Lukas Morand, Poojitha Ramachandra +1
This study explores the applicability of a graph-based interaction-aware trajectory prediction model, originally developed for the transportation domain, to forecast particle traje…
Self-Adaptive Physics-Informed Quantum Machine Learning for Solving Differential Equations
Abhishek Setty, Rasul Abdusalamov, Felix Motzoi
Chebyshev polynomials have shown significant promise as an efficient tool for both classical and quantum neural networks to solve linear and nonlinear differential equations. In th…