The QWalk simulator of quantum walks. - Franklin L. Marquezino; Renato Portugal (Comput. Phys. Commun., 2008)

Decoherence in Search Algorithms. - Gonzalo Abal; Raul Donangelo; Franklin L. Marquezino; Amanda C. Oliveira; Renato Portugal (CoRR, 2009)

Mixing Times in Quantum Walks on Two-Dimensional Grids. - Franklin L. Marquezino; Renato Portugal; Gonzalo Abal (CoRR, 2010)

Obtaining the Quantum Fourier Transform from the classical FFT with QR decomposition. - Franklin L. Marquezino; Renato Portugal; F. D. Sasse (J. Comput. Appl. Math., 2010)

Spatial search on a honeycomb network. - Gonzalo Abal; Raul Donangelo; Franklin L. Marquezino; Renato Portugal (Math. Struct. Comput. Sci., 2010)

Analysis,Simulations and Algorithmic Applications of Quantum Walks. - Franklin de Lima Marquezino (2010)

Quantum search algorithms on hierarchical networks. - Franklin de Lima Marquezino; Renato Portugal; Stefan Boettcher (ITW, 2011)

Cayley graphs and analysis of quantum cost for reversible circuit synthesis - A. C. Ribeiro; Celina M. H. de Figueiredo; Franklin L. Marquezino; Luis A. B. Kowada (CoRR, 2012)

A new reversible circuit synthesis algorithm based on cycle representations of permutations. - A. C. Ribeiro; Luis A. B. Kowada; Franklin L. Marquezino; Celina M. H. de Figueiredo (Electron. Notes Discret. Math., 2015)

Preserving privacy in a smart grid scenario using quantum mechanics. - Fábio Borges; Raqueline A. M. Santos; Franklin L. Marquezino (Secur. Commun. Networks, 2015)

Quantum query without unitary operators. - Sebastián Alberto Grillo; Franklin L. Marquezino (CoRR, 2016)

L1-norm and quantum speed-up. - Sebastián Alberto Grillo; Franklin L. Marquezino (CoRR, 2016)

QEDS: Um Simulador Clássico para Distinção de Elementos Quântico. - Alexandre Santiago de Abreu; Matheus Manzoli Ferreira; Luis Antonio Brasil Kowada; Franklin de Lima Marquezino (RITA, 2016)

The tessellation problem of quantum walks. - Alexandre Santiago de Abreu; Luís Felipe I. Cunha; Tharso D. Fernandes; Celina M. H. de Figueiredo; Luis A. B. Kowada; Franklin L. Marquezino; Daniel Posner; Renato Portugal (CoRR, 2017)

The Graph Tessellation Cover Number: Extremal Bounds, Efficient Algorithms and Hardness. - Alexandre Santiago de Abreu; Luís Felipe I. Cunha; Tharso D. Fernandes; Celina M. H. de Figueiredo; Luis A. B. Kowada; Franklin L. Marquezino; Daniel Posner; Renato Portugal (LATIN, 2018)

Quantum Query as a state decomposition. - Sebastián Alberto Grillo; Franklin L. Marquezino (Theor. Comput. Sci., 2018)

The Tessellation Cover Number of Good Tessellable Graphs. - Alexandre Santiago de Abreu; Luís Felipe I. Cunha; Celina M. H. de Figueiredo; Luis A. B. Kowada; Franklin L. Marquezino; Renato Portugal; Daniel Posner (CoRR, 2019)

Fourier 1-norm and quantum speed-up. - Sebastián Alberto Grillo; Franklin de Lima Marquezino (Quantum Inf. Process., 2019)

A Primer on Quantum Computing - Franklin de Lima Marquezino; Renato Portugal; Carlile Lavor (Springer, 2019)

Total tessellation cover and quantum walk. - Alexandre Santiago de Abreu; Luís Felipe I. Cunha; Celina M. H. de Figueiredo; Franklin L. Marquezino; Daniel Posner; Renato Portugal (CoRR, 2020)

On the equivalence between quantum and random walks on finite graphs. - Matheus Guedes de Andrade; Franklin de Lima Marquezino; Daniel R. Figueiredo 001 (Quantum Inf. Process., 2020)

The graph tessellation cover number: Chromatic bounds, efficient algorithms and hardness. - Alexandre Santiago de Abreu; Luís Felipe I. Cunha; Celina M. H. de Figueiredo; Luis A. B. Kowada; Franklin L. Marquezino; Daniel Posner; Renato Portugal (Theor. Comput. Sci., 2020)

A reversible circuit synthesis algorithm with progressive increase of controls in generalized Toffoli gates. - Edinelço Dalcumune; Luis Antonio Brasil Kowada; André da Cunha Ribeiro; Celina Miraglia Herrera de Figueiredo; Franklin de Lima Marquezino (J. Univers. Comput. Sci., 2021)

A computational complexity comparative study of graph tessellation problems. - Alexandre Santiago de Abreu; Luís Felipe I. Cunha; Celina M. H. de Figueiredo; Luis A. B. Kowada; Franklin L. Marquezino; Renato Portugal; Daniel Posner (Theor. Comput. Sci., 2021)

Total tessellation cover: Bounds, hardness, and applications. - Alexandre Santiago de Abreu; Luís Felipe I. Cunha; Celina M. H. de Figueiredo; Franklin L. Marquezino; Daniel Posner; Renato Portugal (Discret. Appl. Math., 2022)

A quantum approach to the discretizable molecular distance geometry problem. - Carlile Lavor; Franklin L. Marquezino; Andrês Oliveira; Renato Portugal (Quantum Inf. Process., 2022)

Steane code analysis by randomized benchmarking. - Anderson de Souza Barbosa; Franklin de Lima Marquezino; Renato Portugal (RAIRO Oper. Res., 2023)

Algorithmic Construction of Tessellation Cover to QUBO Formulations. - Luís Felipe I. Cunha; Franklin L. Marquezino; Daniel Posner; Matheus Romaneli (AAIM (2), 2024)

A Weight Function Lemma Heuristic for Graph Pebbling. - Guilherme Adamatti Bridi; Franklin L. Marquezino; Celina M. H. de Figueiredo (CoRR, 2025)

The only Class 0 Flower snark is the smallest. - Guilherme Adamatti Bridi; André Luis Alves Martins; Franklin de Lima Marquezino; Celina Miraglia Herrera de Figueiredo (CoRR, 2025)