activity
20112022
most citedLinear optics only allows every possible quantum operation for one photon or one port

14 citations · 36 across the 17 of their papers we have counts for

collaborators

19 papers

math.CO2022

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…

cs.CR2021★ 1 cited

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…

quant-ph2021★ 1 cited

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…

math.AC2021

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…

math.AG2021★ 1 cited

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…

math.CO2020★ 1 cited

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…

quant-ph2020★ 5 cited

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…

math.AC2020

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…

quant-ph2019★ 10 cited

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…

math.AG2017

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…

math.AG2017

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…

quant-ph2015★ 14 cited

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…

math.AC2014★ 2 cited

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…

math.AG2013

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…

math.AC2013

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.…

math.AC2011

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…

math.AG2011★ 1 cited

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…

math.AG2011

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…

math.AG2011

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…