19 citations · 64 across the 23 of their papers we have counts for
27 papers
Concentration of mean exit times
G. Pacelli Bessa, Vicent Gimeno i Garcia, Vicente Palmer
The mean exit time function defined on the -tube around any equator of the sphere , (), goes to infinity wit…
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…
The spectrum of the Laplacian and volume growth of proper minimal submanifolds
G. Pacelli Bessa, Vicent Gimeno, Panagiotis Polymerakis
We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of in terms of their volume growth. Our result improves the…
First Eigenvalue of the Laplacian of a Geodesic Ball and Area-Based Symmetrization of its Metric Tensor
Vicent Gimeno, Erik Sarrion-Pedralva
Given a Riemmanian manifold, we provide a new method to compute a sharp upper bound for the first eigenvalue of the Laplacian for the Dirichlet problem on a geodesic ball of radius…
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…
Lower Bounds for the Volume with Upper Bounds for the Ricci Curvature in Dimension Three
Vicent Gimeno
In this note we provide several lower bounds for the volume of a geodesic ball within the injectivity radius in a -dimensional Riemannian manifold assuming only upper bounds for…
A lower Bound for the Area of Plateau Foams
V. Gimeno, S. Markvorsen, J. M. Sotoca
Real foams can be viewed as a geometrically well-organized dispersion of more or less spherical bubbles in a liquid. When the foam is so drained that the liquid content significant…
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…
Generalized partially linear models on Riemannian manifolds
Amelia Simó, M. Victoria Ibáñez, Irene Epifanio +1
The generalized partially linear models on Riemannian manifolds are introduced. These models, like ordinary generalized linear models, are a generalization of partially linear mode…
Parabolicity, Brownian escape rate and properness of self-similar solutions of the direct and inverse Mean Curvature Flow
Vicent Gimeno, Vicente Palmer
We study some potential theoretic properties of homothetic solitons of the MCF and the IMCF. Using the analysis of the extrinsic distance function defined on these submanifol…
Mean Curvature of Hypersurfaces in Killing Submersions with Bounded Shadow
Vicent Gimeno
Given a complete hypersurface isometrically immersed in an ambient manifold, in this paper we provide a lower bound for the norm of the mean curvature vector field of the immersion…
Upper Bounds for the Poincaré Recurrence Time in Quantum Mixed States
Vicent Gimeno, José M. Sotoca
In this paper by using geometric techniques, we provide upper bounds for the Poincaré recurrence time of a quantum mixed state with discrete spectrum of energies. In the case of di…
Dirichlet spectrum and Green function
G. Pacelli Bessa, Vicent Gimeno, Luquesio P. Jorge
In the first part of this article we obtain an identity relating the radial spectrum of rotationally invariant geodesic balls and an isoperimetric quotient $\sum 1/λ_{i}^{\rm rad}=…
Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities
R. Y. Teh, L. Rosales-Zárate, B. Opanchuk +1
We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled superposition state described by $\frac{1}{\sqrt{2}}\{|N\rangle|0\rangle+|0\rang…
Asymptotically extrinsic tamed submanifolds
G. Pacelli Bessa, Vicent Gimeno, Vicente Palmer
We study, from the extrinsic point of view, the structure at infinity of open submanifolds isometrically immersed in the real space forms of constant sectional curvature .…
Conformal type of ends of revolution in space forms of constant sectional curvature
Vicent Gimeno, Irmina Gozalbo
In this paper we consider the conformal type (parabolicity or non-parabolicity) of complete ends of revolution immersed in simply connected space forms of constant sectional curvat…
Mean curvature, volume and properness of isometric immersions
Vicent Gimeno, Vicente Palmer
We explore the relation among volume, curvature and properness of a -dimensional isometric immersion in a Riemannian manifold. We show that, when the -norm of the mean curv…
On the total curvature and extrinsic area growth of surfaces with tamed second fundamental form
Cristiane M. Brandao, Vicent Gimeno
In this paper we show that a complete and non-compact surface immersed in the Euclidean space with quadratic extrinsic area growth has finite total curvature provided the surface h…
Ends, fundamental tones, and capacities of minimal submanifolds via extrinsic comparison theory
Vicent Gimeno, Steen Markvorsen
We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds which are properly immersed with controlled radial sectional curvatures into an…
Large time behavior of the on-diagonal heat kernel for minimal submanifolds with polynomial volume growth
Vicent Gimeno
In this paper we provide a lower bound for the long time on-diagonal heat kernel of minimal submanifolds in a Cartan-hadamard ambient manifold assuming that the submanifold is of p…
Jellett-Minkowski's formula revisited. Isoperimetric inequalities for submanifolds in an ambient manifold with bounded curvature
Vicent Gimeno
In this paper we provide an extension to the Jellett-Minkowski's formula for immersed submanifolds into ambient manifolds which possesses a pole and radial curvatures bounded from…
Geometric approach to non-relativistic Quantum Dynamics of mixed states
Vicent Gimeno, Jose Sotoca
In this paper we propose a geometrization of the non-relativistic quantum mechanics for mixed states. Our geometric approach makes use of the Uhlmann's principal fibre bundle to de…
On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
Vicent Gimeno
The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show…