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From an economic viewpoint, tourism is heralded as bringing income to local communities. From an ecological standpoint, tourism poses a threat to environments. Sustainable tourism should leave a minimum negative impact on the places visited and preferably have rather positive impact on society. The digitization of the tourism economy is conducive to increasing the efficiency of enterprises operations, but also have positive impact on consumers. The objectives of the study are: to seek an answer to the question whether there is a relationship between the development of the tourism industry and GDP growth. Based on it there are two specific questions: What is a relationship between the level of development of digitization (e-commerce) and the development of the tourism industry and what is a relationship between the development of the tourism industry and sustainability factors? The originality of our research results among others results from three groups of variables use in the analysis (ICT group, SDG group and E&T group). Our research explores the factors affecting the tourism industry and relations of the digitization of tourism economy, sustainability and economy growth.

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Financial markets can play a role in sustaiability development. They can support sustainability by making ESG disclosure, launching sustainability related indices or offering sustainability guidance for listing companies. All of these activities helps in developing sustainability. This article is an attempt to analyze sustainability support level in stock exchanges in the world. It is based on a survey conducted in 27 stock exchanges. The aim of this article is to assess the level of stock exchanges sustainability support and examine the relationship between the stock market size and sustainability support level. To acheve the aim the assessment tool has been created. Sustainability Support Index is a synthetic stock markets sustainability support measure. It helps to compare stock exchange sustainability support levels. In the article statistical tools are used to compare the phenomena, mainly regression analysis and Pearson's correlation. The conclusion presented in the article states that there is a differential stock market sustainability support level in the world. There is no clear correlation between sustainability support variables and stock market size variables. Translated by Marcin Kalinowski Ocena wsparcia zrównoważonego rozwoju na giełdach akcji Słowa kluczowe: zrównoważony rozwój, giełda papierów wartościowych, indeks wsparcia zrównoważonego rozwoju.

Understanding topological matter is an outstanding challenge across several disciplines of physical science. Programmable quantum simulators have emerged as a powerful approach to studying such systems. While quantum spin liquids of paradigmatic toric code type have recently been realized in the laboratory, controlled exploration of topological phases with non-abelian excitations remains an open problem. We introduce and analyze a new approach to simulating topological matter based on periodic driving. Specifically, we describe a model for a so-called Floquet spin liquid, obtained through a periodic sequence of parallel quantum gate operations that effectively simulates the Hamiltonian of the non-abelian spin liquid in Kitaev's honeycomb model. We show that this approach, including the toolbox for preparation, control, and readout of topological states, can be efficiently implemented in state-of-the-art experimental platforms. One specific implementation scheme is based on Rydberg atom arrays and utilizes recently demonstrated coherent qubit transport combined with controlled-phase gate operations. We describe methods for probing the non-abelian excitations, and the associated Majorana zero modes, and simulate possible fusion and braiding experiments. Our analysis demonstrates the potential of programmable quantum simulators for exploring topological phases of matter. Extensions including simulation of Kitaev materials and lattice gauge theories are also discussed.