Quantum computing is an impending technology with a huge potential for societal and business disruption. The main goal of NeQst is to make a significant contribution towards realizing this potential. To reach this goal we will perform exploratory research on how near-term quantum computers can help to solve high-impact optimization problems suggested by major industries: hydropower scheduling, route planning for autonomous ships, financial fraud detection, portfolio management, and logistics and supply chain optimization. Business use of quantum computing requires the convergence of different technologies; quantum technology, i.e., the use of quantum physics to perform calculations; digital technology, i.e., to generate, store, process data; and operations research, i.e., advanced analytical methods for decision making.