4 papers
Quantum Homotopy Algorithm for Solving Nonlinear PDEs and Flow Problems
Sachin S. Bharadwaj, Balasubramanya Nadiga, Stephan Eidenbenz +1
Quantum algorithms to integrate nonlinear PDEs governing flow problems are challenging to discover but critical to enhancing the practical usefulness of quantum computing. We prese…
Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm
Nikolas Köcher, Hendrik Rose, Sachin S. Bharadwaj +2
The time-dependent one-dimensional nonlinear Schrödinger equation (NLSE) is solved numerically by a hybrid pseudospectral-variational quantum algorithm that connects a pseudospect…
Compact quantum algorithms for time-dependent differential equations
Sachin S. Bharadwaj, Katepalli R. Sreenivasan
Many claims of computational advantages have been made for quantum computing over classical, but they have not been demonstrated for practical problems. Here, we present algorithms…
Quantum Carleman linearisation efficiency in nonlinear fluid dynamics
Javier Gonzalez-Conde, Dylan Lewis, Sachin S. Bharadwaj +1
Computational fluid dynamics (CFD) is a specialised branch of fluid mechanics that utilises numerical methods and algorithms to solve and analyze fluid-flow problems. One promising…