Simulating multilevel quantum systems using the density matrix formalism involves solving large systems of coupled differential equations, often requiring computationally intensive methods such as Runge–Kutta, Monte Carlo, or physics-informed neural networks. These solvers demand high-performance computing resources because of the complexity and size of the underlying matrices. This study evaluates key aspects of simulation performance, such as numerical accuracy, scalability, parallel efficiency, or resource utilization, to develop efficient computational strategies. To address infrastructure overhead and improve accessibility, a Function-as-a-Service-based platform is proposed to enable elastic, on-demand execution of quantum simulation workflows. A monitoring and orchestration strategy is integrated into the platform to optimize resource use across varying problem dimensionalities. By abstracting the complexity of traditional high-performance computing environments, the proposed Function-as-a-Service-based approach facilitates efficient and scalable quantum simulations while reducing user-side infrastructure management. The results provide a foundation for designing accessible, high-fidelity simulations for complex quantum systems on modern cloud-based or hybrid high-performance computing platforms.
This article presents a comprehensive analysis of the long-term economic growth trajectory in Armenia. The research utilizes the Long-Term Growth Model (LTGM) to assess the impact of total factor productivity (TFP), physical capital, and human capital on per capita GDP dynamics through 2100. The results of scenario-based modeling made it possible to identify the projected decline in the working-age population as the key long-term constraint on growth. However, the existing levels of physical capital and the quality of human capital are deemed sufficient to sustain economic expansion. The calculations indicate that under a pessimistic TFP growth scenario, per capita GDP growth could decline to 0.5
An interval t-coloring of a graph G is a proper edge-coloring with colors 1,… ,t such that the colors on the edges incident to every vertex of G are colored by consecutive colors. A graph G is called interval colorable if it has an interval t-coloring for some positive integer t. Let 𝔑 be the set of all interval colorable graphs. For a graph G∈𝔑 , we denote by w(G) and W(G) the minimum and maximum number of colors in an interval coloring of a graph G, respectively. In this paper we present some new sharp bounds on W(G□ H) for graphs G and H satisfying various conditions. In particular, we show that if G,H∈𝔑 and H is an r-regular ( r∈ℕ ) graph, then W(G□ H)≥ W(G)+W(H)+r . We also derive a new upper bound on W(G) for interval colorable connected graphs with additional distance conditions. Based on these bounds, we improve known lower and upper bounds on W(C_2n_1□ C_2n_2□⋯□ C_2n_k) for k-dimensional tori C_2n_1□ C_2n_2□⋯□ C_2n_k and on W(K_2n_1□ K_2n_2□⋯□ K_2n_k) for Hamming graphs K_2n_1□ K_2n_2□⋯□ K_2n_k , and these new bounds coincide with each other for hypercubes. Finally, we give several results on interval colorings of Fibonacci cubes _n.
This paper proposes a numerical approach to the problem of inverse quantum control with a focus on the automated formation of external laser control fields that ensure high-precision and controlled population transfer in multilevel quantum systems. The method is based on optimizing the parameters of control pulses using gradient algorithms in combination with automatic differentiation, which allows for effective control of the physical characteristics of laser fields and increases the stability of the transfer process. The obtained results provide a foundation for the development of more general quantum control methods focused on experimental implementation on real physical platforms.
The article is devoted to the analysis of the principle of legality (Nullum crimen sine lege) in the context of its consolidation in the national legislation of the Republic of Armenia and compliance with the provisions of the Rome Statute of the ICC. The purpose of the study is to identify the distinctive features of this principle and the specifics of its application at two levels of legal regulation. The provisions of the new Criminal Code of the Republic of Armenia reflecting modern approaches to ensuring legality in criminal law are discussed. Special attention is paid to the analysis of law enforcement practice in Armenia, aimed at observing the principle of legality and ensuring legal certainty when bringing to criminal responsibility. The comparative legal analysis makes it possible to identify both the features of the national approach and the degree of compliance with international standards.
