Journal articles, preprints, scientific software, and books.
Journal publications and their preprints are listed as a single work. PySymmetry is available online in 2026 and assigned to the January 2027 issue of Computer Physics Communications.
The preprint previously titled Lie-algebraic incompleteness of symmetry-adapted VQE for non-Abelian molecular point groups has been superseded by version 3, Point-group filtering in unitary coupled-cluster ansätze, under the same arXiv identifier.
The Google Scholar snapshot supplied on October 24, 2026 reports 99 citations, h-index 4, and i10-index 2. These figures are a dated snapshot; see the profile for current metrics.
2027
Comput. Phys. Commun.
PySymmetry: A Sage/Python framework for the symmetry reduction of linear G-equivariant systems
@article{silva2027pysymmetry,title={{PySymmetry}: A {Sage/Python} framework for the symmetry reduction of linear {G}-equivariant systems},author={da Silva, Leon D. and Santos, Marcelo P.},journal={Computer Physics Communications},volume={330},pages={110455},year={2027},note={Available online in 2026; January 2027 issue},doi={10.1016/j.cpc.2026.110455},}
2026
arXiv
Point-group filtering in unitary coupled-cluster ansätze: exact criticality under the Abelian filter, freeness measured near equilibrium under the full group
Leon D. Silva, Marcelo P. Santos, and Md. Zubair
2026
Preprint, version 3. Supersedes the earlier title: Lie-algebraic incompleteness of symmetry-adapted VQE for non-Abelian molecular point groups
@misc{dasilva2026pointgroupfiltering,title={Point-group filtering in unitary coupled-cluster ans{\"a}tze: exact criticality under the {Abelian} filter, freeness measured near equilibrium under the full group},author={da Silva, Leon D. and Santos, Marcelo P. and Zubair, Md.},year={2026},note={Preprint, version 3. Supersedes the earlier title: Lie-algebraic incompleteness of symmetry-adapted VQE for non-Abelian molecular point groups},}
arXiv
Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes
Leon D. Silva, Marcelo P. Santos, José D. Silva, and 1 more author
@misc{dasilva2026parallelisation,title={Parallelisation of {Discrete Exterior Calculus} via {Representation Theory} on Curved and Three-Dimensional Meshes},author={da Silva, Leon D. and Santos, Marcelo P. and da Silva, Jos{\'e} D. and {Ferreira Jr}, Gilson},year={2026},note={Preprint},}
Regul. Chaotic Dyn.
Decomposition of Symmetrical Classes of Central Configurations
@article{santos2026decomposition,title={Decomposition of Symmetrical Classes of Central Configurations},author={Santos, Marcelo P. and da Silva, Leon D.},journal={Regular and Chaotic Dynamics},volume={31},number={4},pages={531--559},year={2026},doi={10.1134/S1560354726520023},}
2023
Q. Inf. Process.
Comments on “Efficient classical simulation of the Deutsch–Jozsa and Simon’s algorithms”
Carlos A. Batista, Tiago M. L. Veras, Leon D. Silva, and 1 more author
@article{batista2023comments,title={Comments on ``Efficient classical simulation of the {Deutsch--Jozsa} and {Simon's} algorithms''},author={Batista, Carlos A. and de Veras, Tiago M. L. and da Silva, Leon D. and da Silva, Adenilton J.},journal={Quantum Information Processing},volume={22},number={11},pages={399},year={2023},doi={10.1007/s11128-023-04134-7},}
Software
Quantum computing library
Israel F. Araujo, Ismael C. S. Araújo, Leon D. Silva, and 2 more authors
@misc{araujo2023quantum,title={Quantum computing library},author={Araujo, Israel F. and Ara{\'u}jo, Ismael C. S. and da Silva, Leon D. and Blank, Carsten and da Silva, Adenilton J.},year={2023},howpublished={Scientific software},}
2022
Q. Inf. Process.
Double sparse quantum state preparation
Tiago M. L. Veras, Leon D. Silva, and Adenilton J. Silva
@article{de2022double,title={Double sparse quantum state preparation},author={de Veras, Tiago M. L. and da Silva, Leon D. and da Silva, Adenilton J.},journal={Quantum Information Processing},volume={21},number={6},pages={204},year={2022},doi={10.1007/s11128-022-03549-y},}
J. Phys. A
Integral transform approach to mimetic discrete calculus
Antonio Murilo Santos Macêdo, Leon D. Silva, Lucas Gabriel Bezerra Souza, and 2 more authors
Journal of Physics A: Mathematical and Theoretical, 2022
@article{santos2022integral,title={Integral transform approach to mimetic discrete calculus},author={Mac{\e}do, Antonio Murilo Santos and da Silva, Leon D. and Souza, Lucas Gabriel Bezerra and Batista, Carlos Andr{\'e} and de Oliveira, Wilson Rosa},journal={Journal of Physics A: Mathematical and Theoretical},volume={55},number={22},pages={225202},year={2022},doi={10.1088/1751-8121/ac663e},}
@article{silva2020cauchyschwarz,title={Consequ{\^e}ncias da desigualdade de {Cauchy--Schwarz}},author={da Silva, Leon D.},journal={{\'E} Matem{\'a}tica, Oxente!},volume={1},number={16},pages={1--6},year={2020},}
2019
JCTN
A Discrete Exterior Calculus Approach to Quantum Transport and Quantum Chaos on Surface
Leon D. Silva, Carlos André Batista, Ivan R. R. González, and 3 more authors
Journal of Computational and Theoretical Nanoscience, 2019
@article{da2019discrete,title={A {Discrete Exterior Calculus} Approach to Quantum Transport and Quantum Chaos on Surface},author={da Silva, Leon D. and Batista, Carlos Andr{\'e} and Gonz{\'a}lez, Ivan R. R. and Mac{\e}do, Antonio M. S. and de Oliveira, Wilson Rosa and Melo, S{\'i}lvio de Barros},journal={Journal of Computational and Theoretical Nanoscience},volume={16},number={9},pages={3670--3682},year={2019},doi={10.1166/jctn.2019.8364},}
SBM
Elementos de Computação Matemática com SageMath
Leon Denis Silva, Marcelo Pedro dos Santos, and Ricardo Nunes Machado Júnior
@book{silva2019,title={Elementos de Computa{\c c}{\~a}o Matem{\'a}tica com {SageMath}},author={da Silva, Leon Denis and Santos, Marcelo Pedro dos and {Machado Júnior}, Ricardo Nunes},publisher={Sociedade Brasileira de Matem{\'a}tica},address={Rio de Janeiro},year={2019},}