55 citations · 140 across the 6 of their papers we have counts for
6 papers
Infinite quantum signal processing for arbitrary Szegő functions
Michel Alexis, Lin Lin, Gevorg Mnatsakanyan +2
We provide a complete solution to the problem of infinite quantum signal processing for the class of Szegő functions, which are functions that satisfy a logarithmic integrability c…
Robust iterative method for symmetric quantum signal processing in all parameter regimes
Yulong Dong, Lin Lin, Hongkang Ni +1
This paper addresses the problem of solving nonlinear systems in the context of symmetric quantum signal processing (QSP), a powerful technique for implementing matrix functions on…
Infinite quantum signal processing
Yulong Dong, Lin Lin, Hongkang Ni +1
Quantum signal processing (QSP) represents a real scalar polynomial of degree using a product of unitary matrices of size , parameterized by real numbers cal…
Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation
Dong An, Di Fang, Stephen Jordan +3
Nonlinear differential equations exhibit rich phenomena in many fields but are notoriously challenging to solve. Recently, Liu et al. [1] demonstrated the first efficient quantum a…
On the energy landscape of symmetric quantum signal processing
Jiasu Wang, Yulong Dong, Lin Lin
Symmetric quantum signal processing provides a parameterized representation of a real polynomial, which can be translated into an efficient quantum circuit for performing a wide ra…
Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance
Dong An, Noah Linden, Jin-Peng Liu +3
Inspired by recent progress in quantum algorithms for ordinary and partial differential equations, we study quantum algorithms for stochastic differential equations (SDEs). Firstly…