3 papers
quant-ph2025
Quantum computing from a mathematical perspective: a description of the quantum circuit model
J. Ossorio-Castillo, José M. Tornero
This paper is an essentially self-contained and rigorous description of the fundamental principles of quantum computing from a mathematical perspective. It is intended to help math…
quant-ph2024
Further Applications of the Generalised Phase Kick-Back
JoaquÃn Ossorio-Castillo, Ulises Pastor-DÃaz, José M. Tornero
In our previous work, we defined a quantum algorithmic technique known as the Generalised Phase Kick-Back, or , and analysed its applications in generalising some classical qu…
quant-ph2024
Quantum algorithms for the Sylvester denumerant and the numerical semigroup membership problem
J. Ossorio-Castillo, José M. Tornero
Two quantum algorithms are presented, which tackle well--known problems in the context of numerical semigroups: the numerical semigroup membership problem (NSMP) and the Sylvester…