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Computational and Mathematical Methods

An explanation of the Bernstein‐Vazirani and Deustch‐Josza algorithms with the quantum stabilizer formalism

Elías F. Combarro, Alejandro P. Nicolás, José Ranilla, I. F. Rúa

Published Jul 27, 2020• 2 citations

Abstract

This work was supported in part by the Ministry of Economy and Competitiveness (“Ministerio de Economia y Competitividad”) from Spain/FEDER under grant MINECO‐16‐TEC2015‐67387‐C4‐3‐R, by the Ministry of Economy, Industry and Competitiveness (“Ministerio de Economia, Industria y Competitividad”) from Spain/FEDER under grant MTM‐2017‐83506‐C2‐2‐P, by Ministry of Science and Innovation (“Ministerio de Ciencia e Innovacion”) from Spain/FEDER under grant RTI2018‐098085‐B‐C44, and by he Regional Ministry of the Principality of Asturias (“Consejeria de Empleo, Industria y Turismo del Principado de Asturias”) under grants FC‐GRUPIN‐IDI/2018/000193 and FC‐GRUPIN‐IDI/2018/000226.

DOI: 10.1002/cmm4.1120

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This work was supported in part by the Ministry of Economy and Competitiveness (“Ministerio de Economia y Competitividad”) from Spain/FEDER under grant MINECO‐16‐TEC2015‐67387‐C4‐3‐R, by the Ministry of Economy, Industry and Competitiveness (“Ministerio de Economia, Industria y Competitividad”) from Spain/FEDER under grant MTM‐2017‐83506‐C2‐2‐P, by Ministry of Science and Innovation (“Ministerio de Ciencia e Innovacion”) from Spain/FEDER under grant RTI2018‐098085‐B‐C44, and by he Regional Ministry of the Principality of Asturias (“Consejeria de Empleo, Industria y Turismo del Principado de Asturias”) under grants FC‐GRUPIN‐IDI/2018/000193 and FC‐GRUPIN‐IDI/2018/000226.

We acknowledge the Spanish State Research Agency,through the Severo Ochoa and Maria de Maeztu Programfor Centers and Units of Excellence in R&D (MDM-2017-0711), CSIC extension to EPheQuCS (FIS2016-78010-P),and CSIC Quantum Technologies PTI-001. The work ofMCS has been supported by MICINN/AEI/FEDER andthe University of the Balearic Islands through a ”Ramony Cajal Fellowship (RYC-2015-18140). VP acknowledgesfinancial support from the European Research Council under the Consolidator Grant COQCOoN (Grant No.820079).

This work was partially supported by the Consejeria de Economia, Conocimiento, Empresas y Universidad de la Junta de Andalucia (Spain) under Groups FQM-160, FQM-177, and FQM-370, by the Spanish Ministerio de Ciencia e Innovacion, FIS2017-88410-P, PGC2018-095113-B-I00, PID2019-104002GB-C21 and PID2019-104002GB-C22, as well as by the European Commission, H2020-INFRAIA-2014-2015 (ENSAR2) and by European Regional Development Fund (ERDF), ref. SOMM17/6105/UGR. Resources supporting this work were provided by the CEAFMC and Universidad de Huelva High Performance Computer (HPC@UHU) funded by ERDF/MINECO project UNHU-15CE-2848