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20182026
most citedQuantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions

85 citations · 446 across the 42 of their papers we have counts for

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6 papers · 1 filter

math.NA2024

The RQR algorithm

Daan Camps, Thomas Mach, Raf Vandebril +1

Pole-swapping algorithms, generalizations of bulge-chasing algorithms, have been shown to be a viable alternative to the bulge-chasing QZ algorithm for solving the generalized eige…

math.NA2021★ 27 cited

An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation

Daan Camps, Efekan Kökcü, Lindsay Bassman +3

Quantum computing is a promising technology that harnesses the peculiarities of quantum mechanics to deliver computational speedups for some problems that are intractable to solve…

math.NA2020★ 37 cited

Quantum Fourier Transform Revisited

Daan Camps, Roel Van Beeumen, Chao Yang

The fast Fourier transform (FFT) is one of the most successful numerical algorithms of the 20th century and has found numerous applications in many branches of computational scienc…

math.NA2019★ 7 cited

On pole-swapping algorithms for the eigenvalue problem

Daan Camps, Thomas Mach, Raf Vandebril +1

Pole-swapping algorithms, which are generalizations of the QZ algorithm for the generalized eigenvalue problem, are studied. A new modular (and therefore more flexible) convergence…

math.NA2019★ 5 cited

A multishift, multipole rational QZ method with aggressive early deflation

Thijs Steel, Daan Camps, Karl Meerbergen +1

The rational QZ method generalizes the QZ method by implicitly supporting rational subspace iteration. In this paper we extend the rational QZ method by introducing shifts and pole…

math.NA2018★ 8 cited

A rational QZ method

Daan Camps, Karl Meerbergen, Raf Vandebril

We propose a rational QZ method for the solution of the dense, unsymmetric generalized eigenvalue problem. This generalization of the classical QZ method operates implicitly on a H…