Potapov, V. N. Avgustinovich, S. V.
Published in
Siberian Mathematical Journal

We prove that (1): the characteristic function of each independent set in each regular graph attaining the Delsarte–Hoffman bound is a perfect coloring; (2): each transversal in a uniform regular hypergraph is an independent set in the vertex adjacency multigraph of a hypergraph attaining the Delsarte–Hoffman bound for this multigraph; and (3): the...

Wang, Samson Fontana, Enrico Cerezo, M. Sharma, Kunal Sone, Akira Cincio, Lukasz Coles, Patrick J.
Published in
Nature Communications

Variational quantum algorithms (VQAs) are a leading candidate for useful applications of near-term quantum computing, but limitations due to unavoidable noise have not been clearly characterized. Here, the authors prove that local Pauli noise can cause vanishing gradients rendering VQAs untrainable.

Zhao, S. -C.
Published in
JETP Letters

A theoretical investigation is carried out into the effect of spontaneously generated coherence (SGC) on the left-handedness in a four-level Y-type atomic system with two highest nearly degenerate lying levels. It is found, with the spontaneously generated coherence intensity enhancing, the atomic system gradually displays left-handedness with simu...

Fittipaldi, R. Hartmann, R. Mercaldo, M. T. Komori, S. Bjørlig, A. Kyung, W. Yasui, Y. Miyoshi, T. Olde Olthof, L. A. B. Palomares Garcia, C. M.
...
Published in
Nature Communications

Strontium Ruthenate, Sr2RuO4, displays a remarkable number of intriguing physical phenomena, from superconductivity, to strain-induced ferromagnetism. Here, using low-energy muon spectroscopy, Fittipaldi et al. demonstrate the existence of unconventional magnetism at the surface of Sr2RuO4 in its normal state and without any applied strain.

Donà, Pietro Sarno, Giorgio
Published in
General Relativity and Gravitation

The intricated combinatorial structure and the non-compactness of the Lorentz group have always made the computation of SL(2,C)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docu...

Ghoshal, Shyam Sundar Guelmame, Billel Jana, Animesh Junca, Stéphane
Published in
Nonlinear Differential Equations and Applications NoDEA

This paper deals with the optimal regularity for entropy solutions of conservation laws. For this purpose, we use two key ingredients: (a) fine structure of entropy solutions and (b) fractional BV spaces. We show that optimality of the regularizing effect for the initial value problem from L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepa...

Khalilloev, M. M. Jabbarova, B. O. Nasirov, A. A.
Published in
Technical Physics Letters

AbstractThe dependence of random telegraph noise (RTN) amplitude on the gate overdrive in a junctionless field-effect transistor (FinFET) with rectangular and trapezoidal channel (fin) cross sections manufactured using silicon-on-insulator technology has been numerically simulated. It is established that the RTN amplitude in the subthreshold region...

Chen, Jing-Yi Zhao, Shun-Cai
Published in
The European Physical Journal Plus

The radiative recombination of electron–hole pairs represents a great challenge to the photon-to-charge efficiency in photocell. In this paper, we visit the radiative recombination rate (RRR) in a quantum photocell with or without three dipole–dipole coupled electron donors. The results show that different gaps play the same roles while the ambient...

Muniz, Juan A. Barberena, Diego Lewis-Swan, Robert J. Young, Dylan J. Cline, Julia R. K. Rey, Ana Maria Thompson, James K.
Published in
Nature

Interactions between light and an ensemble of strontium atoms in an optical cavity can serve as a testbed for studying dynamical phase transitions, which are currently not well understood.

Kravchenko, A. S.
Published in
Siberian Mathematical Journal

We consider the space M(X) of separable measures on the Borel σ-algebra ℬ(X) of a metric space X. The space M(X) is furnished with the Kantorovich-Rubinshtein metric known also as the “Hutchinson distance” (see [1]). We prove that M(X) is complete if and only if X is complete. We consider applications of this theorem in the theory of selfsimilar fr...