This report, coordinated by the superconducting quantum computing team at the UK National Physical Laboratory, summarises our view of the state of the art in superconducting quantum computing (SQC) and the real-life problems that this technology is likely to be able to tackle in the short term and over a longer perspective. It also analyses the scientific and engineering expertise, specialist facilities, and other resources for SQC readily available in the UK and those we are missing. Based on this analysis the paper makes a projection of what the country could realistically achieve in a `space race' for quantum computing capability in different investment scenarios.