4 papers
Two Problems on Quantum Computing in Finite Abelian Groups
Ulises Pastor-DÃaz, José M. Tornero
In the context of finite Abelian groups two problems are presented and solved using quantum computing techniques. The first is the well--known Hidden Subgroup Problem, originally s…
On the torsion growth in quadratic number fields for elliptic curves defined over the rationals
Sara Arias-de-Reyna, Miguel Pineda-MartÃn, José M. Tornero
Given an elliptic curve defined over the field of rational numbers, it is known how its torsion subgroup may grow when we make a base change to a quadratic number field. In this pa…
Onthe computation of the MED closure of a numerical semigroup
Jorge Jiménez Urroz, José M. Tornero
Maximally embedding dimension (MED) numerical semigroups are a wide and interesting family, with some remarkable algebraic and combinatorial properties. Associated to any numerical…
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…