Quantum Algorithmis using the Qiskit: An approach to teach quantum computation and information

The present study aimed to analyze the simulation data of two different quantum algorithms: Deutsch Algorithm and the Quantum Fourier Transform. In order to execute this, has been used the Qiskit framework to implement the afore mentioned algotihms. Such simulations took place on local machine (classic computer) and on the quantum chips of International Business Machines (IBM) via cloud. On the local machine the results obtained are those predicted by the theory. In IBM prototypes, small error fluctuations have been observed. However, the expected states were obtained with high probability. Our results show that the quantum computers are robust to the studied algorithms, been this an intuitive way to teach the concepts of quantum information and computation to students in the professional (techinical) level of graduation.

Keywords
Quantum information; Quantum mechanics; Quantum computing; IBM Quantum Experience; Deutsch algorithm; Quantum Fourier Transform

Authorship

Warley Marcos Santos Alves

Universidade Federal de Minas Gerais, Instituto de Ciências Exatas, Departamento de Física, Belo Horizonte, MG, Brasil.Universidade Federal de Minas GeraisBrasilBelo Horizonte, MG, BrasilUniversidade Federal de Minas Gerais, Instituto de Ciências Exatas, Departamento de Física, Belo Horizonte, MG, Brasil.

Universidade Federal dos Vales do Jequitinhonha e Mucuri, Instituto de Engenharia, Ciência e Tecnologia, Janaúba,MG, Brasil.Universidade Federal dos Vales do Jequitinhonha e MucuriBrasilJanaúba, MG, BrasilUniversidade Federal dos Vales do Jequitinhonha e Mucuri, Instituto de Engenharia, Ciência e Tecnologia, Janaúba,MG, Brasil.

Jean Carlos Coelho Felipe ^** Endereço de correspondência: jean.cfelipe@ufvjm.edu.br

http://orcid.org/0000-0002-8108-2399

* Endereço de correspondência: jean.cfelipe@ufvjm.edu.br

SCIMAGO INSTITUTIONS RANKINGS

Figures | Tables | Formulas

Figures (39)
Tables (2)
Formulas (19)

Antes		Depois
Controle	Alvo	Controle	Alvo
$\| 0 ⟩$	$\| 0 ⟩$	$\| 0 ⟩$	$\| 0 ⟩$
$\| 0 ⟩$	$\| 1 ⟩$	$\| 0 ⟩$	$\| 1 ⟩$
$\| 1 ⟩$	$\| 0 ⟩$	$\| 1 ⟩$	$\| 1 ⟩$
$\| 1 ⟩$	$\| 1 ⟩$	$\| 1 ⟩$	$\| 0 ⟩$

x	$f_{0} (x)$	$f_{1} (x)$	$f_{2} (x)$	$f_{3} (x)$
0	0	0	1	1
1	0	1	0	1
$f_{0} (x), f_{3} (x) =$ constante
$f_{1} (x), f_{2} (x) =$ balanceada