15 citations · 17 across the 4 of their papers we have counts for
4 papers
Globalizing the Carleman linear embedding method for nonlinear dynamics
Ivan Novikau, Ilon Joseph
The Carleman embedding method is a widely used technique for linearizing a system of nonlinear differential equations, but fails to converge in regions where there are multiple fix…
An efficient explicit implementation of a near-optimal quantum algorithm for simulating linear dissipative differential equations
Ivan Novikau, Ilon Joseph
We propose an efficient block-encoding technique for the implementation of the Linear Combination of Hamiltonian Simulations (LCHS) for simulating dissipative initial-value problem…
Quantum algorithm for the advection-diffusion equation and the Koopman-von Neumann approach to nonlinear dynamical systems
Ivan Novikau, Ilon Joseph
We propose an explicit algorithm based on the Linear Combination of Hamiltonian Simulations technique to simulate both the advection-diffusion equation and a nonunitary discretized…
Estimating QSVT angles for matrix inversion with large condition numbers
I. Novikau, I. Joseph
Quantum Singular Value Transformation (QSVT) is a state-of-the-art, near-optimal quantum algorithm that can be used for matrix inversion. The QSVT circuit is parameterized by a seq…