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Proceeding Paper

Quantum Arithmetic for Directly Embedded Arrays †

1
Research Group M2NICA, Department of Mathematics, CITIC, University of A Coruña, Campus de Elviña S/N, 15071 A Coruña, Spain
2
Centro de Supercomputación de Galicia (CESGA), Avenida de Vigo, 15705 Santiago de Compostela, Spain
3
Global Risk Analytics, HSBC, Centenary Sq, Birmingham B1 1HQ, UK
*
Author to whom correspondence should be addressed.
Presented at the 4th XoveTIC Conference, A Coruña, Spain, 7–8 October 2021.
These authors contributed equally to this work.
Academic Editors: Joaquim de Moura, Marco A. González, Javier Pereira and Manuel G. Penedo
Eng. Proc. 2021, 7(1), 45; https://doi.org/10.3390/engproc2021007045
Published: 21 October 2021
(This article belongs to the Proceedings of The 4th XoveTIC Conference)
We describe a general-purpose framework to implement quantum algorithms relying upon an efficient handling of arrays. The cornerstone of the framework is the direct embedding of information into quantum amplitudes, thus avoiding hampering square roots. We discuss the entire pipeline, from data loading to information extraction. Particular attention is devoted to the definition of an efficient toolkit of basic quantum operations on arrays. We comment on strong and weak points of the proposed quantum manipulations, especially in relation to an effective exploitation of quantum parallelism. We describe in detail some general-purpose routines as well as their embedding in full algorithms. Their efficiency is critically discussed both locally, at the level of the routine, and globally, at the level of the full algorithm. Finally, we comment on some applications in the quantitative finance domain. View Full-Text
Keywords: quantum computing; quantum simulation quantum computing; quantum simulation
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MDPI and ACS Style

Manzano, A.; Musso, D.; Leitao, Á.; Gómez, A.; Vázquez, C.; Ordóñez, G.; Rodríguez-Nogueiras, M. Quantum Arithmetic for Directly Embedded Arrays. Eng. Proc. 2021, 7, 45. https://doi.org/10.3390/engproc2021007045

AMA Style

Manzano A, Musso D, Leitao Á, Gómez A, Vázquez C, Ordóñez G, Rodríguez-Nogueiras M. Quantum Arithmetic for Directly Embedded Arrays. Engineering Proceedings. 2021; 7(1):45. https://doi.org/10.3390/engproc2021007045

Chicago/Turabian Style

Manzano, Alberto, Daniele Musso, Álvaro Leitao, Andrés Gómez, Carlos Vázquez, Gustavo Ordóñez, and María Rodríguez-Nogueiras. 2021. "Quantum Arithmetic for Directly Embedded Arrays" Engineering Proceedings 7, no. 1: 45. https://doi.org/10.3390/engproc2021007045

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