I am new to FHE, construction, and its applications. I am working on PQC, particularly NIST and newly submitted digital signature schemes.
I want to explore FHE schemes and their potential in real-life applications. I need some guidelines on where should I start in this regard. Any comparison between available FHE schemes, and their implementation choice with their pros and cons would serve the purpose.
If you are trying to get a deeper understanding, I recommend checking the primary papers that founded the schemes CKKS, BGV/BFV, TFHE. For a general understanding, you can find blog posts, such as the ones I used to understand the basics of word-wise schemes: Exact: BGV, BFV; approximate: CKKS. This paper (Badawi and Polyakov, 2023) is an excellent source for reviewing the bootstrapping procedures in the existing schemes, comparing them, and determining possible future directions.
For the applications, if you could provide a specific one, people can help you further. For example, this paper (Xu et al, 2021) reviews the privacy preserving machine learning (PPML) applications.