The British Nation Cyber Security Centre (NCSC) has just released a white paper intended for those who use or build cryptographic products and systems. It describes the threat to cryptography posed by the emergence of quantum computing, and includes guidance for transitioning to systems that will resist this threat.
The NCSC mentions that:
The NCSC acknowledges the serious threat posed by quantum computation to currently used forms of asymmetric cryptography, particularly key agreement algorithms.
We strongly recommend a considered approach to transitioning to quantum-safe cryptography, as and when algorithms and parameter sets become stable and are standardised.