As the world grapples with rapid technological change that has the capacity to affect every aspect of human life, “responsible innovation” is key to ensuring that this transformation is shaped in a way that benefits society as a whole while minimizing risks. A joint effort by the Centre for International Governance Innovation and Project Liberty, this policy brief explores seven “verticals” that will guide this technological evolution (artificial intelligence, quantum technologies, neurotechnology, Web3, digital public infrastructure, extended reality and biocomputing) and four “horizontals” (macroeconomics, geopolitics, climate change and regulation) that will shape the medium-term impact of these verticals. Using responsible innovation in the development and application of these technologies can help mitigate their disruptive potential. This approach involves looking at how to reduce the possible negative consequences of an innovation while maximizing its benefits for everyone, and focusing attention on innovation aimed at our greatest shared challenges.