Functional Matrices on Quantum Computing Simulation

Author:

de la Cruz Calvo Hernán Indíbil1ORCID,Cuartero Gómez Fernando1ORCID,Paulet González José Javier12ORCID,Mezzini Mauro3ORCID,Pelayo Fernando López1ORCID

Affiliation:

1. Departmento de Sistemas Informáticos, Universidad de Castilla-La Mancha, Campus Universitario, 02071 Albacete, Spain

2. Departamento de Sistemas Informáticos y Computación, Universidad Complutense de Madrid, Plaza de las Ciencias 3, 28040 Madrid, Spain

3. Educational Sciences Department, Roma Tre University, Via Ostiense, 00154 Rome, Italy

Abstract

In simulating Quantum Computing by using the circuit model the size of the matrices to deal with, together with the number of products and additions required to apply every quantum gate becomes a really hard computational restriction. This paper presents a data structure, called Functional Matrices, which is the most representative feature of QSimov quantum computing simulator which is also provided and tested. A comparative study of the performance of Functional Matrices with respect to the other two most commonly used matrix data structures, dense and sparse ones, is also performed and summarized within this work.

Funder

Spanish MINECO/FEDER project AwESOMe

Region of Madrid project FORTE-CM

EIE Funds of the European Union

Ampliación de la plataforma QSIMOV aumentando su versatilidad y conectividad

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference23 articles.

1. Quantum computational networks;Deutsch;Proc. R. Soc. Lond.,1989

2. Zulehner, A., Paler, A., and Wille, R. (2018, January 19–23). Efficient mapping of quantum circuits to the IBM QX architectures. Proceedings of the 2018 Design, Automation Test in Europe Conference Exhibition (DATE), Dresden, Germany.

3. Cross, A.W., Bishop, L.S., Smolin, J.A., and Gambetta, J.M. (2017). Open Quantum Assembly Language. arXiv.

4. Smith, R.S., Curtis, M.J., and Zeng, W.J. (2016). A Practical Quantum Instruction Set Architecture. arXiv.

5. Raedt, H., and Michielsen, K. (2006). Host Publication, American Scientific Publishers.

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