Stabilizer Codes for Quantum Error Correction and Synchronization

This thesis project aims to deepen the basic concepts of quantum mechanics with particular reference to quantum information theory and quantum error correction codes, fundamental for a correct reception of information. The relations between these codes and classical ones have been investigated, based upon their representation in terms of stabilizers and then developing a possible error detection code. It has also been examined a classical problem in communication systems, namely frame synchronization, discussing it in quantum communication systems.