14 citations · 36 across the 17 of their papers we have counts for
19 papers
On the consistency of score sheets of a round-robin football tournament
Bogdan Ichim, Julio José Moyano-Fernández
In this paper we introduce the submonoids , resp. , of the monoid of ordered score sheets of a robin-round tournament played by te…
Quantum collision finding for homomorphic hash functions
Juan Carlos Garcia-Escartin, Vicent Gimeno, Julio José Moyano-Fernández
Hash functions are a basic cryptographic primitive. Certain hash functions try to prove security against collision and preimage attacks by reductions to known hard problems. These…
QOptCraft: A Python package for the design and study of linear optical quantum systems
Daniel Gómez Aguado, Vicent Gimeno, Julio José Moyano-Fernández +1
The manipulation of the quantum states of light in linear optical systems has multiple applications in quantum optics and quantum computation. The package QOptCraft gives a collect…
Eliahou number, Wilf function and concentration of a numerical semigroup
Patricio Almirón, Julio José Moyano-Fernández
We give an estimate of the minimal positive value of the Wilf function of a numerical semigroup in terms of its concentration. We describe necessary conditions for a numerical semi…
Newton-Okounkov bodies and Picard numbers on surfaces
Julio José Moyano-Fernández, Matthias Nickel, Joaquim Roé
We study the shapes of all Newton-Okounkov bodies of a given big divisor on a surface with respect to all rank 2 valuations of . We obtain upper bounds…
An extension of the Wilf conjecture to semimodules over a numerical semigroup
Patricio Almirón, Julio José Moyano-Fernández
The aim of this paper is to propose an extension of the Wilf conjecture to semimodules over a numerical semigroup through a new approach toward the solution of the Wilf conjecture…
Optimal approximation to unitary quantum operators with linear optics
Juan Carlos Garcia-Escartin, Vicent Gimeno, Julio José Moyano-Fernández
Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. Using Toponogov's…
A formula for the conductor of a semimodule of a numerical semigroup with two generators
Patricio Almirón, Julio José Moyano-Fernández
We provide an expression for the conductor of a semimodule of a numerical semigroup with two generators in terms of the syzygy module of and the generators of th…
A method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
Juan Carlos Garcia-Escartin, Vicent Gimeno, Julio José Moyano-Fernández
The evolution of quantum light through linear optical devices can be described by the scattering matrix of the system. For linear optical systems with possible modes, the e…
Newton-Okounkov bodies of exceptional curve valuations
Carlos Galindo, Francisco Monserrat, Julio José Moyano-Fernández +1
We prove that the Newton-Okounkov body of the flag , defined by the surface and the exceptional divisor gi…
The universal zeta function for curve singularities and its relation with global zeta functions
Julio José Moyano-Fernández
The purpose of this note is to give a brief overview on zeta functions of curve singularities and to provide some evidences on how these and global zeta functions associated to sin…
Linear optics only allows every possible quantum operation for one photon or one port
Julio José Moyano-Fernández, Juan Carlos Garcia-Escartin
We study the evolution of the quantum state of photons in different modes when they go through a lossless linear optical system. We show that there are quantum evolution op…
Hilbert series of modules over positively graded polynomials rings
Lukas Katthän, Julio José Moyano-Fernández, Jan Uliczka
In this note, we give examples of formal power series satisfying certain conditions that cannot be realized as Hilbert series of finitely generated modules. This answers to the neg…
On multi-index filtrations associated to Weierstrass semigroups
Julio José Moyano-Fernández
The aim of this paper is to review the main techniques in the computation of Weierstraßsemigroup at several points of curves defined over perfect fields, with special emphasis on t…
Hilbert regularity of ZZ-graded modules over polynomial rings
Winfried Bruns, Julio José Moyano-Fernández, Jan Uliczka
Let M be a finitely generated ZZ-graded module over the standard graded polynomial ring R=K[X_1, ..., X_n] with K a field, and let H_M(t)=Q_M(t)/(1-t)^d be the Hilbert series of M.…
Hilbert depth of graded modules over polynomial rings in two variables
Julio José Moyano-Fernández, Jan Uliczka
In this article we mainly consider the positively Z-graded polynomial ring R=F[X,Y] over an arbitrary field F and Hilbert series of finitely generated graded R-modules. The central…
Poincaré series for plane curve singularities and their behaviour under projections
Julio José Moyano-Fernández
Our purpose is to investigate all defined Poincaré series associated with multi-index filtrations and value semigroups of curve singularities---not necessarily complex---with regar…
On some curve singularity invariants and reductions
Julio José Moyano-Fernández
This paper deals with the study of the behaviour of the value semigroup of a curve singularity define over a global field reduced modulo a maximal ideal. We also define a global ze…
On the coefficients of the Stöhr Zeta Function
Julio José Moyano-Fernández
Let be a one-dimensional Cohen-Macaulay local ring having a finite field as a coefficient field. The aim of this work is to extend the explicit computations of the Stöhr Zeta F…