De Hilbert a los algoritmos cuánticos: el rol del álgebra en el desarrollo de la computación

Daniel Steven  Moran Pizarro; Sandra Johana  Dominguez Bonilla; Carolina  Castaño Gutierrez; Ciro Efrain  Martinez Bez

doi:10.22490/25394088.7503

Vol. 17 No. 4 (2023): Edición especial Expotech

Published

2023-12-11

PDF (Spanish)

How to Cite

Moran Pizarro, D. S. ., Dominguez Bonilla, S. J. ., Castaño Gutierrez, C. ., & Martinez Bez, C. E. . (2023). From Hilbert to quantum algorithms: the role of algebra in the development of computing. Publicaciones E Investigación, 17(4). https://doi.org/10.22490/25394088.7503

Download Citation

Metrics

Metrics Loading ...

From Hilbert to quantum algorithms: the role of algebra in the development of computing

DOI: https://doi.org/10.22490/25394088.7503

Section

Artículo original

Daniel Steven Moran Pizarro Universidad Nacional Abierta y a distancia

Sandra Johana Dominguez Bonilla Universidad Nacional Abierta y a distancia

Carolina Castaño Gutierrez Universidad Nacional Abierta y a distancia

Ciro Efrain Martinez Bez Universidad Nacional Abierta y a distancia

This presentation examines the fundamental and transformative role algebra has played in the evolution of computing, from the formulation of Hilbert's problems to the development of modern quantum algorithms. By starting with a historical analysis, it highlights how the evolution of algebra is intrinsically intertwined with advances in solving the problems posed by Hilbert. As we move along the timeline, the influence of solid algebraic foundations on the emergence of computation theory and early algorithms is clear, paving the way for an unprecedented era of technological development. In the contemporary era, quantum computing emerges as an emerging Industry 5.0 technology, which relies on advanced algebraic concepts for its operation. It concludes with a discussion of the continuing relevance of algebra in past and future technological developments and the importance of a solid mathematical foundation to address the challenges of Industry 5.0. Through this exploration, the importance of algebra as a central pillar in the development of computer science is highlighted, and ultimately its impact in shaping our technological future.

Algebra, Quantum Computing, History of Mathematics, Industry 5.0, Hilbert Problems, Theories of Computation

Colomer E (1990). Historia del Pensamiento Alemán de Kant a Heidegger. Barcelona: Editorial Herder.

Corona J, Kovac M, Mijares M, Grimaldos R (2016). The phenomenology of Edmund Husserl, Martin Heidegger and Alfred Schütz. International Journal of Philosophy and Social-Psychological Sciences, 2(4):86-90.

Hayashi Masahito (2016). Quantum Information Theory: Mathematical Foundation. Springer Verlag.

Mathematische Probleme, Von David Hilbert (1900). https://web.archive.org/web/20120205025851/http://www.mathematik.uni-bielefeld.de/~kersten/hilbert/rede.html

Microsoft. (2023). Álgebra lineal para la computación cuántica. Azure Quantum. https://learn.microsoft.com/es-es/azure/quantum/overview-algebra-for-quantum-computing

Morín E (1999). Pensamiento Complejo. París: Editorial L Harmattan.

On Hilbert and his 24 Problems. En: Proceedings of the Joint Meeting of the CSHPM 13(2002)1-22 (26th Meeting; ed. M. Kinyon).

Ramírez, P. (2020). Introducción a la computación cuántica y sus aplicaciones. Trabajo Fin de Grado, Universidad de Cádiz.

Recalde, L. (2018). Lecturas de Historia de las Matemáticas. Cali: Programa Editorial Universidad del Valle.

Turing, A. (1936). On Computable Numbers, with an Application to the Entscheidungsproblem. Proceedings of the London Mathematical Society, 2(1), 230-265. doi:10.1112/plms/s2-42.1.230.

Yanofsky N, Mannuci M (2008). Quantum Computing for Computer Scientists. Cambridge University Press.

Download Citation

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

When the Publicaciones e Investigaciones Journal receives an original study or article from its author(s), whether by email, postal service, or the platforms available for said purpose, know that it may be published in physical or electronic formats in national or international archives, databases, or SIRES. As such, Publications and Research authorizes the reproduction and citation of said material, provided that the description of information is carried out in conformity with bibliographic norms, and mention the corresponding names, authors, article, issue, and pages. Publications and Research, in advance, expresses that the information, concepts, and methods are the responsibility of the author(s). As such, the UNAD does not have any influence whatsoever over that expressed in the manuscript.

Published

How to Cite

From Hilbert to quantum algorithms: the role of algebra in the development of computing

Keywords