People try to come up with a plan. The problem is the plan is in its very early stage. We have a couple of impractical algorithms. An EU research project has p

People try to come up with a plan. The problem is the plan is in its very early stage. We have a couple of impractical algorithms. An EU research project has published a couple of recommendations what you can do if you need postquantum today (none of which you want to use for TLS, because the keys or signatures are too big). NIST plans a standardization process. A draft for a stateful hash-based signature scheme (XMSS) is probably going to be an IETF document soon. Small bits and pieces. People are working on it, but it's still a long way until you will be able to use your browser to establish a quantum-safe https connection.