My Hypothesis is that current implementations of post-quantum cryptographic algorithms are in an early, but stable stage of development.
My research proposal involves experimental data gathering to assess the suitability of post-quantum encryption algorithms.  As we approach a post-quantum world, RSA based encryption algorithms such as AES which rely on the inherent difficulty of factorizing large numbers become weaker.  Encryption is vital to the success of the internet and taking steps to ensure that quantum resistant algorithms are well understood and documented is important for the transition that will occur over the next several decades.
My proposal involves a rigorous experimental study to benchmark the performance of publicly available post-quantum algorithm implementations.  Extreme care is taken to minimize the effects of external variables such as mechanical and electrical interference which would threaten the validity of the results, as well as detailed documentation to ensure repeatability.