Bachelor defense by Miro Samson Heydtmann

A Study of the Fundamental Principles of Quantum Error Correction

This project studies the principles of how quantum error correction can be achieved and is made concrete the the specific example of the Shor code. We then get to the threshold theorem for quantum computation and find a threshold for the Shor code as well as explore how error rates can be exponentially reduced via concatenations. The project ends with an exploration into how other kinds of errors can be corrected, that the Shor code alone cannot deal with.