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Vibration Analysis of Cyclic Symmetrical Systems by Quantum Algorithms
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Quantum computers have provided exponentially faster solutions to several physical and engineering problems over existing classical solutions.
In this paper we present two quantum algorithms to analyze the forced vibration of a mechanical system with cyclic symmetry.
Our main algorithm solves the equation of motion of an undamped and nonelastic rotating system with cyclic symmetry consisting of n sectors, by encoding the displacements of each sector at time t in a quantum state.
The runtime of this algorithm is polylog in both n and t, thus exponentially faster than the analogous classical algorithm.
Also we consider damped and elastic systems with cyclic symmetry and present another quantum algorithm to solve it in runtime polylog in n and polynomial in t.
American Psychological Association (APA)
Mahasinghe, Anuradha. 2019. Vibration Analysis of Cyclic Symmetrical Systems by Quantum Algorithms. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195871
Modern Language Association (MLA)
Mahasinghe, Anuradha. Vibration Analysis of Cyclic Symmetrical Systems by Quantum Algorithms. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1195871
American Medical Association (AMA)
Mahasinghe, Anuradha. Vibration Analysis of Cyclic Symmetrical Systems by Quantum Algorithms. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195871
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195871