4 citations · 4 across the 4 of their papers we have counts for
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Analytical Angle-Finding and Series Expansions for Quantum Signal Processing via Orthogonal Polynomial Theory
Pierre-Antoine Bernard, Nathan Wiebe
Quantum signal processing is a powerful framework in quantum algorithms, playing a central role in Hamiltonian simulation and related applications. The sequence of polynomials impl…
Efficient Quantum Simulation for Nonlinear Stochastic Differential Equations
Xiangyu Li, Ahmet Burak Catli, Ho Kiat Lim +4
Nonlinear stochastic differential equations (NSDEs) are a pillar of mathematical modeling for scientific and engineering applications. Accurate and efficient simulation of large-sc…
Simulating Time Dependent and Nonlinear Classical Oscillators through Nonlinear Schrödingerization
Abhinav Muraleedharan, Nathan Wiebe
We present quantum algorithms for simulating the dynamics of a broad class of classical oscillator systems containing coupled oscillators (Eg: masses coupled by springs…
Quantum Simulation of Lindbladian Dynamics via Repeated Interactions
Matthew Pocrnic, Dvira Segal, Nathan Wiebe
The Lindblad equation generalizes the Schrödinger equation to quantum systems that undergo dissipative dynamics. The quantum simulation of Lindbladian dynamics is therefore non-uni…