Mathematics and Statistics Institute
Federal University of Rio Grande do Sul - UFRGS
Instituto de Matemática e Estatística
Universidade Federal do Rio Grande do Sul
Av. Bento Gonçalves 9500 - CEP 91509-900
Porto Alegre - RS - Brazil
Phone: +55 (51) 3308-6205
Office: B101
E-mail: carlos.felipe@ufrgs.br
Very brief CV
BSc., Mathematics, 2003, MSc., Mathematics, 2005, Universidade Federal do Rio Grande do Sul (UFRGS)
Fulbright Scholarship 2006-2008. Department of Mathematics, University of Illinois at Urbana-Champaign (UIUC)
PhD., Mathematics, 2010, UFRGS. Thesis title: Quantum stochastic processes. Advisor: Artur O. Lopes
Professor of Mathematics, Department of Pure and Applied Mathematics, IME/UFRGS, since 2011
Director of Graduate Studies, Graduate Program in Mathematics, PPGMAT/UFRGS (for the Academic Year of 2019)
Some Events
100 Anos da Mecânica Quântica - 29 jul-01 ago 2025 - Porto Alegre, Brazil
Escuela de Invierno de Análisis - 5-10 december 2022, UNAM -Ciudad de México
Graph theory, algebraic combinatorics and mathematical physics - Aug 2022, Montréal, Canada
BIRS 2019 Workshop on Quantum Walks and Information Tasks - Banff, Alberta, Canada
MCA 2017 Montréal - Quantum Walks, Open Quantum Walks, Quantum Computation and Related Topics
Selected publications
1. One-dimensional Continuous-Time Quantum Markov Chains: qubit probabilities and measures (with M. D. de la Iglesia). Journal of Physics A: Mathematical and Theoretical, 57 (2024) 295301 arXiv Journal
2. Hitting time expressions for quantum channels: beyond the irreducible case and applications to unitary walks (with L. F. L. Pereira). Quantum Information Processing, 22, 304 (2023). arXiv Journal
3. Mean hitting time formula for positive maps (with L. Velázquez). Linear Algebra and Its Applications, 650 (2022), 169-189. arXiv Journal
4. Homogeneous open quantum walks on the line: criteria for site recurrence and absorption (with T. S. Jacq). Quantum Information & Computation, Vol. 21, No. 1&2 (2021) 0037-0058. arXiv Journal
5. Quantum Markov chains: recurrence, Schur functions and splitting rules (with F. A. Grünbaum and L. Velázquez). Annales Henri Poincaré, 21 (2020), 189–239. arXiv Journal
6. Mean hitting times of quantum Markov chains in terms of generalized inverses. Quantum Information Processing, 18: 257 (2019). arXiv Journal
7. On a class of quantum channels, open random walks and recurrence (with R. R. Souza). Journal of Statistical Physics, 159:772-796 (2015). arXiv Journal
8. Quantum stochastic processes, quantum iterated function systems and entropy (with A. Baraviera, A. O. Lopes and M. Terra Cunha). São Paulo Journal of Mathematical Sciences, Vol. 5, N 1., p. 51-84 (2011). arXiv Journal