Buscar
On using Reproducing Kernel Hilbert Spaces for the analysis of Replicated Spatial Point Processes
(Elsevier, 2023)
This paper focuses on the use of the theory of Reproducing
Kernel Hilbert Spaces in the statistical analysis of replicated point
processes. We show that spatial point processes can be observed
as random variables in a ...
Eliahou number, Wilf function and concentration of a numerical semigroup
(Taylor & Francis, 2022-03-30)
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 semigroup to have a negative Eliahou number ...
Exponential Perturbative Expansions and Coordinate Transformations
(MDPI, 2020)
We propose a unified approach for different exponential perturbation techniques used in
the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion,
the Floquet–Magnus expansion for periodic ...
On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
(Springer, 2022-03-21)
Many q-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal q2-ary linear codes. This result can be generalized to q2m-ary linear codes, m>1. We give a result for easily obtaining quantum codes ...
Computing the matrix sine and cosine simultaneously with a reduced number of products
(Elsevier, 2021-05)
A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two versions ...
QOptCraft: A Python package for the design and study of linear optical quantum systems
(Elsevier, 2022-08-29)
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 collection of methods to solve some of the most ...
A characterization of a local vector valued Bollobás Theorem
(Springer Nature, 2021-07-30)
In this paper, we are interested in giving two characterizations for the so-called property Lo,o, a local vector valued Bollobás type theorem. We say that (X, Y) has this property whenever given ε>0 and an operador T:X→Y, ...
Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
(Elsevier, 2023-11-10)
The present work is concerned with the extension of modified potential operator splitting methods to specific classes of nonlinear evolution equations. The considered partial differential equations of Schrödinger and ...
Optimal approximation to unitary quantum operators with linear optics
(Springer Nature, 2021-09-21)
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 theorem from differential geometry, we ...
High order integrators obtained by linear combinations of symmetric-conjugate compositions
(Elsevier, 2022-02-01)
A new family of methods involving complex coefficients for the numerical integration of differential equations is presented and analyzed. They are constructed as linear combinations of symmetric-conjugate compositions ...