arrow
Return

Moderate exponential-time quantum dynamic programming across the subsets for scheduling problems

delete2025-02-01
delete0
delete
OA
AI
C
Camille Grangé *
M
Michaël Poss
E
Eric Bourreau
V
Vincent t'Kindt
O
Olivier Ploton
DOI:10.1016/j.ejor.2024.09.005delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
Grover Search is currently one of the main quantum algorithms leading to hybrid quantum-classical methods that reduce the worst-case time complexity for some combinatorial optimization problems. Specifically, the combination of Quantum Minimum Finding (obtained from Grover Search) with dynamic programming has proved particularly efficient in improving the complexity of NP-hard problems currently solved by classical dynamic programming. For these problems, the classical dynamic programming complexity in O-& lowast;(c(n)), where O-& lowast; denotes that polynomial factors are ignored, can be reduced by a hybrid algorithm to O-& lowast;(c(quant)(n)), with c(quant)
Keywords:
Discrete optimization
Quantum computing
Scheduling
Dynamic programming
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

Organization

C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279
U
universite perpignan via domitia
Scholars:
1.2K
Papers: 953
Citations: 1