60 citations
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Showing 2024 · quant-phShow all
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quant-ph2024
Double-Logarithmic Depth Block-Encodings of Simple Finite Difference Method's Matrices
Sunheang Ty, Renaud Vilmart, Axel TahmasebiMoradi +1
Solving differential equations is one of the most computationally expensive problems in classical computing, occupying the vast majority of high-performance computing resources dev…
quant-ph2024★ 2 cited
A typology of quantum algorithms
Pablo Arnault, Pablo Arrighi, Steven Herbert +2
We draw the current landscape of quantum algorithms, by classifying about 130 quantum algorithms, according to the fundamental mathematical problems they solve, their real-world ap…
quant-ph2024
Dirac quantum walk on tetrahedra
Ugo Nzongani, Nathanaël Eon, Iván Márquez-Martín +3
Discrete-time Quantum Walks (QWs) are transportation models of single quantum particles over a lattice. Their evolution is driven through causal and local unitary operators. QWs ar…