Zobrazeno 1 - 10
of 288
pro vyhledávání: '"Hernandez, Rodrigo"'
Autor:
Schleich, Philipp, Skreta, Marta, Kristensen, Lasse B., Vargas-Hernández, Rodrigo A., Aspuru-Guzik, Alán
The feasibility of variational quantum algorithms, the most popular correspondent of neural networks on noisy, near-term quantum hardware, is highly impacted by the circuit depth of the involved parametrized quantum circuits (PQCs). Higher depth incr
Externí odkaz:
http://arxiv.org/abs/2410.23940
Quantum computing presents a promising alternative for the direct simulation of quantum systems with the potential to explore chemical problems beyond the capabilities of classical methods. However, current quantum algorithms are constrained by hardw
Externí odkaz:
http://arxiv.org/abs/2410.16041
In this paper we give a characterization of $\log J_f$ belongs to $\widetilde{\mathcal{B}}_p$ or $\widetilde{\mathcal{Q}}_p$ spaces for any locally univalent sense-preserving harmonic mappings $f$ defined in the unit disk, using the Schwarzian deriva
Externí odkaz:
http://arxiv.org/abs/2408.09062
Publikováno v:
Mach. Learn.: Sci. Technol. 5 035061 (2024)
Orbital-free density functional theory (OF-DFT) for real-space systems has historically depended on Lagrange optimization techniques, primarily due to the inability of previously proposed electron density approaches to ensure the normalization constr
Externí odkaz:
http://arxiv.org/abs/2404.08764
Autor:
Martín-Domene, Sergio, Sánchez-Tejerina, Luis, Martín-Hernández, Rodrigo, Hernández-García, Carlos
The ability to spatially separate the electric and magnetic fields of a light beam enables the inspection of laser-matter interactions driven solely by optical magnetic fields. However, magnetic field excitations are commonly orders of magnitude weak
Externí odkaz:
http://arxiv.org/abs/2401.07649
It is well-known that lens maps are convex mappings defined in the unit disc to itself. In this brief note, we show that these mappings are convex of order $\alpha>0$, and starlike of order $\beta>0$, and establish the precise orders in terms of open
Externí odkaz:
http://arxiv.org/abs/2312.13899
Orbital-free density functional theory (OF-DFT) provides an alternative approach for calculating the molecular electronic energy, relying solely on the electron density. In OF-DFT, both the ground-state density is optimized variationally to minimize
Externí odkaz:
http://arxiv.org/abs/2311.13518
Publikováno v:
J. Math. Anal. Appl. 538 (2024), no. 2, Paper no. 128387, 14 pp
We study the convolution of functions of the form \[ f_\alpha (z) := \dfrac{\left( \frac{1 + z}{1 - z} \right)^\alpha - 1}{2 \alpha}, \] which map the open unit disk of the complex plane onto polygons of 2 edges when $\alpha\in(0,1)$. We extend resul
Externí odkaz:
http://arxiv.org/abs/2311.12937
Autor:
Carrasco, Pablo, Hernández, Rodrigo
The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order $alpha$ in terms of the value of $f''(0)$, in particular, when this quantity is equal to zero. In addition, we obtain sharp bou
Externí odkaz:
http://arxiv.org/abs/2211.13563