Listar IMAC_Articles por fecha de publicación
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No-go theorems for photon state transformations in quantum linear optics
Elsevier (2023)We give a necessary condition for photon state transformations in linear optical setups preserving the total number of photons. From an analysis of the algebra describing the quantum evolution, we find a conserved quantity ... -
On various types of density of numerical radius attaining operators
Taylor and Francis (2023)In this paper, we are interested in studying Bishop-Phelps-Bollob´as type properties related to the denseness of the operators which attain their numerical radius. We prove that every Banach space with a micro-transitive ...
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Stabilizer quantum codes defined by trace-depending polynomials
Elsevier (2022-12-29)Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace [18]. In this paper, we propose to evaluate polynomials at the roots of trace-depending ...
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On the Algebras VN(H) and VN(H)(*) of an Ultraspherical Hypergroup H
Cambridge University Press (2022-12-12)Let H be an ultraspherical hypergroup and let A(H) be the Fourier algebra associated with H. In this paper, we study the dual and the double dual of A(H). We prove among other things that the subspace of all ...
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Comprensión del conjunto solución de un sistema de ecuaciones lineales de dos incógnitas: un estudio de casos
Sociedad Mexicana de Investigación y Divulgación de la Educación Matemática A. C. (SOMIDEM, A. C) (2022-12)En este artículo se reporta cómo estudiantes chilenos, de secundaria y universitarios, comprenden el Conjunto Solución de un Sistema de Ecuaciones Lineales de tres ecuaciones y dos incógnitas (CSSEL3x2). El estudio se ...
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Runge–Kutta–Nyström symplectic splitting methods of order 8
Elsevier (2022-12)Different families of Runge–Kutta–Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better ...
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Achievable connectivities of Fatou components for a family of singular perturbations
American Institute of Mathematical Sciences (2022-09)In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps ...
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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 ...
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Smooth and Polyhedral Norms via Fundamental Biorthogonal Systems
Oxford University Press (2022-08-04)Let X be a Banach space with a fundamental biorthogonal system, and let Y be the dense subspace spanned by the vectors of the system. We prove that Y admits a C∞-smooth norm that locally depends on finitely many coordinates ...
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Spatio-temporal modeling of traffic accidents incidence on urban road networks based on an explicit network triangulation
Taylor and Francis Group (2022-07-29)Traffic deaths and injuries are one of the major global public health concerns. The present study considers accident records in an urban environment to explore and analyze spatial and temporal in the incidence of road ... -
Norm-Attaining Tensors and Nuclear Operators
Springer (2022-06)Given two Banach spaces X and Y, we introduce and study a concept of norm-attainment in the space of nuclear operators (𝑋�,𝑌�) and in the projective tensor product space 𝑋�⊗ˆ𝜋�𝑌�. We exhibit positive and negative ...
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New and improved orbits of historical comets: Late 4th and 5th century
Elsevier (2022-05-22)Since as early as the 19th century, many scholars have devoted themselves to the calculation of sets of orbital elements for particular historical comets. In many cases, these studies have led to proposing orbits that have ...
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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 ...
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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 ...
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Orthogonal ℓ1-sets and extreme non-Arens regularity of preduals of von Neumann algebras
Elsevier (2022-03-04)A Banach algebra is Arens-regular when all its continuous functionals are weakly almost periodic, in symbols when ⁎ . To identify the opposite behaviour, Granirer called a Banach algebra extremely non-Arens regular ...
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On interpolating sequences for Bloch type spaces
Elsevier (2022-02-14)When we deal with , it is known that interpolating sequences are interpolating and it is sufficient to interpolate idempotents of in order to interpolate the whole . We will extend these results to the frame of interpolating ...
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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 ...
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Dynamical mechanism behind ghosts unveiled in a map complexification
Elsevier (2022-01-14)Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close ...
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Dynamics of Newton-like root finding methods
Springer (2022)When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z2 − c has the same form regardless of which algorithm has been ...
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Applying splitting methods with complex coefficients to the numerical integration of unitary problems
American Institute of Mathematical Sciences (AIMS) (2022)We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr¨odinger equation. We prove that a particular class of integrators are conjugate to unitary ...
