10 citations · 20 across the 4 of their papers we have counts for
4 papers
Quantum Algorithms for Heterogeneous PDEs: The Neutron Diffusion Eigenvalue Problem
Andrew M. Childs, Lincoln Johnston, Brian Kiedrowski +2
We develop a quantum algorithm to solve a type of linear reaction-diffusion equation, the neutron diffusion (generalized) k-eigenvalue problem that establishes nuclear criticality.…
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…
Efficient and practical Hamiltonian simulation from time-dependent product formulas
Jan Lukas Bosse, Andrew M. Childs, Charles Derby +3
In this work we propose an approach for implementing time-evolution of a quantum system using product formulas. The quantum algorithms we develop have provably better scaling (in t…
Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters
Dong An, Andrew M. Childs, Lin Lin
We introduce a family of identities that express general linear non-unitary evolution operators as a linear combination of unitary evolution operators, each solving a Hamiltonian s…