51 citations · 105 across the 14 of their papers we have counts for
5 papers · 1 filter
Inverse nonlinear fast Fourier transform on SU(2) with applications to quantum signal processing
Hongkang Ni, Rahul Sarkar, Lexing Ying +1
The nonlinear Fourier transform (NLFT) extends the classical Fourier transform by replacing addition with matrix multiplication. While the NLFT on has been widel…
Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation
Dong An, Andrew M. Childs, Lin Lin +1
Eigenvalue transformations, which include solving time-dependent differential equations as a special case, have a wide range of applications in scientific and engineering computati…
Quantum Linear System Solvers: A Survey of Algorithms and Applications
Mauro E. S. Morales, Lirandë Pira, Philipp Schleich +7
Solving linear systems of equations plays a fundamental role in numerous computational problems from different fields of science. The widespread use of numerical methods to solve t…
Multi-level quantum signal processing with applications to ground state preparation using fast-forwarded Hamiltonian evolution
Yulong Dong, Lin Lin
The preparation of the ground state of a Hamiltonian with a large spectral radius has applications in many areas such as electronic structure theory and quantum field theory. G…
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…