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quant-ph2026
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…
quant-ph2025
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…
quant-ph2025
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…