A Survey of Locally Decodable Codes and Private Information Retrieval Schemes

We survey the state of the art in the fields of Locally Decodable Codes and Private Information Retrieval. We present enough background, including a brief description of Quantum Computing, to make this paper self-contained. Of note, we include the recent construction of Yekhanin (29, 14), which yields the best known general bounds for PIR protocols and LDCs.