The IBM Quantum Summit 2021 is our flagship invite-only event for the quantum computing community. The Quantum Summit is an exclusive opportunity to meet the brightest minds in quantum computing from across the field and to hear the industry-defining announcements on this emerging technology. The theme of this year's Summit is New Dimensions. Quantum computing is unlocking the potential of large-dimensional mathematics for the 21st century – much like classical computing unlocked the potential of algorithmic mathematics in the 20th century. At this year's Summit, we will lay out our vision for what this emerging paradigm might look like.