As quantum technology develops, we expect cyber insurers to start considering the potential systemic risks associated with the post-quantum era. Developments in quantum technologies are advancing rapidly and will offer huge opportunities to improve our lives. However, quantum computing will also pose the next significant challenge to cybersecurity and organisations are being urged to take steps to prepare for this now. The National Cyber Security Centre has already published guidance on the timeline for the migration to post-quantum cryptography (PQC) which starts now by identifying information, systems and cryptography which is at risk and ends in 2035 with the complete migration to PQC for systems, services and products.