Diego Ferreira
contact@diegoferreira.net
diegobragaferreira@gmail.com
ferreira@fisica.ufmg.br
About Me
I am a researcher scientist and PhD physics student at Federal University of Minas Gerais, Brazil, and I work with various topics in Quantum Information and Condensed Matter Systems. Specifically, I develop and apply Tensor Network techniques to theoretically study the dynamics of Quantum many-body systems. I have some experience in program development and simulations, using C++, Matlab and Fortran, as well as in analytical solutions of selected models. My interest is advance the tensor network mathematical framework and solve frontier science problems.
Get my curriculum vitae, lattes, or see my google schoolar profile.
What is a Tensor Network?
Quantum operators can be represented as a network of connected tensors, often involving some manipulation of these network in a way that the tensors are efficiently stored. This way high-dimensional data can be decomposed into smaller parts, with a neat graphical notation that can be used to explain and even make calculations. It is a very general framework, with applications in Mathematics, Quantum Information and the study of Quantum Entanglement, Machine Learning etc.
A zoo of quantum algorithms exists to this date, generally representing a target dimension (1D, 2D, ...) and a variational renormalization procedure or some time evolution algorithm in real or imaginary time. Powerful numerical simulations can be derived in such framework, giving a basis to many studies in various fields and some neat ideas. A novel of such algorithms drive the field of many-body systems pushing the limits of what systems can be study, as well as models in Quantum Field Theory and General Relativity, e. g. Quantum Gravity and Holography.
What do I do in my free time?
I also like to code in typescript and make web apps (you can test a tensor network visualization tool here), to do electronics projects, to play guitar and to go walking while listening to music.
Scientific Productions
Articles
| 2022 |
Quantum correlations, entanglement spectrum, and coherence of the two-particle reduced density matrix in the extended Hubbard model
arXiv:2111.00085
Phys. Rev. B 105, 115145
|
| 2021 |
Determination of the critical exponents in dissipative phase transitions: coherent anomaly approach
arXiv:2103.07255
Phys. Rev. B 104, 214301
|
| 2020 |
Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions
arXiv:2002.01590
|
| 2019 |
Probing Genuine Multipartite Entanglement in Large Systems
arXiv:1911.04649
|
| 2018 |
Completely positive maps for reduced states of indistinguishable particles
arXiv:1807.07175
Physical Review A, 98 052135
|
Posters
| 2019 |
Tensor Network Techniques applied in the Extended Hubbard Model
Presented at "Tensor Network based approaches to Quantum Many-Body Systems", Donostia International Physics Center, Donostia-San Sebastián, Spain
|
| 2018 |
Tensor Network Techniques applied in the Extended Hubbard Model
Presented at "Summer School on Collective Behaviour in Quantum Matter", ICTP, Trieste, Italy
|