The article analyzes the main aspects of the application of quantum models for the analysis of relationships between innovations and economic growth, which are a promising direction in economic science. The influence of trends and challenges of globalization and accelerated technological innovations, which play a key role in realizing competitive advantages and increasing productivity, is determined; in promoting the sustainable development of the economy. The author defines the dynamics of innovation processes, which causes the need for new approaches, such as the principles of quantum modeling, defines the content of quantum models in global business. In particular, the principles that allow for more accurate modeling of uncertainty and non-linear processes characteristic of innovative activity are considered. The author pays special attention to the use of quantum models for accurate forecasting and planning of economic development, development of effective strategies for scientific research and state policy in the field of innovation. The recommendations are aimed at carrying out a comprehensive analysis and assessment of the impact of quantum technologies on economic indicators of employment, indicators of investment activity and international trade. In further scientific developments, it is expected to improve the comparative analysis of classical and quantum economic models for determining effective approaches to innovation management. A promising direction of scientific research is the development of a methodical tool for optimizing investments in research and R&D to improve the mechanisms of state support for innovative activities. Emphasis is placed on the fact that research results will contribute to the creation of a new generation of economic strategies based on the principles of quantum economics, and will open up new horizons for the growth and development of the world market.