A Modular Framework for Generic Quantum Algorithms

Alberto Manzano, Daniele Musso, Álvaro Leitao, Andrés Gómez, Carlos Vázquez, Gustavo Ordóñez and María R. Nogueiras
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Alberto Manzano: Department of Mathematics and CITIC, Universidade da Coruña, 15001 A Coruña, Spain
Daniele Musso: Department of Physics, Instituto de Ciencias y Tecnologías Espaciales de Asturias (ICTEA), Oviedo University, 33003 Oviedo, Spain
Álvaro Leitao: Department of Mathematics and CITIC, Universidade da Coruña, 15001 A Coruña, Spain
Andrés Gómez: Galicia Supercomputing Center (CESGA), 15705 Santiago de Compostela, Spain
Carlos Vázquez: Department of Mathematics and CITIC, Universidade da Coruña, 15001 A Coruña, Spain
Gustavo Ordóñez: Moody’s Analtyics, Moody’s, Edinburgh EH3 8RB, UK
María R. Nogueiras: Global Risk Analytics, The Hongkong and Shanghai Banking Corporation (HSBC), London B1 1HQ, UK

Mathematics, 2022, vol. 10, issue 5, 1-18

Abstract: We describe a general-purpose framework to design quantum algorithms. This framework relies on two pillars: a basic data structure called quantum matrix and a modular structure based on three quasi-independent modules. These latter include a loading module, a tool-kit of basic quantum arithmetic operations and a read-out module. We briefly discuss the loading and read-out modules, while the arithmetic module is analyzed in more depth. Eventually, we give explicit examples regarding the manipulation of generic oracles and hint at possible applications.

Keywords: quantum computing; linear algebra; quantum simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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