Listar IMAC_Articles por autoría "9fec35d0-f0a7-4af5-b147-3323d0db158b"
Mostrando ítems 1-9 de 9
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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 ... -
Generalized Weierstrass semigroups and their Poincaré series.
Elsevier (2019-07)We investigate the structure of the generalized Weierstrass semigroups at several points on a curve defined over a finite field. We present a description of these semigroups that enables us to associate them with combinatorial ...
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Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
American Physical Society (2019-08-02)The evolution of quantum light through linear optical devices can be described by the scattering matrix S of the system. For linear optical systems with m possible modes, the evolution of n input photons is given by a ...
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Multiple photon effective Hamiltonians in linear quantum optical networks
Elsevier (2019)We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution of the quantum state of any number of photons entering a linear optics multiport. The description is based ...
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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 ...
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On Multi-Index Filtrations Associated to Weierstraß Semigroups
Springer, Cham (2020-05-14)This paper is a survey on the main techniques involved in the computation of the Weierstraß semigroup at several points of curves defined over perfect fields, with special emphasis on the case of two points. Some hints ...
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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 ...
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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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The Universal Zeta Function for Curve Singularities and its Relation with Global Zeta Functions
Springer (2018-11-04)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 singular algebraic curves over perfect fields ...
