MSc. Thesis Defense: Reza Dastbasteh

MSc. Thesis Defense: Reza Dastbasteh

QUANTUM STABILIZER CODES

 

 

 

Reza Dastbasteh

 

 

Mathematics, Master Thesis, May 2017

 

 

Thesis Jury: Prof. Dr. Cem Güneri (Thesis Advisor), Assoc. Prof. Dr. Kağan

Kurşungöz, Assist. Prof. Dr. Seher Tutdere

 

 

Date and Time:

29th, May 2017- 13:30 PM

 

 

Place:

FENS G032

 

 

Keywords: Quantum stabilizer codes, additive codes, self-orthogonal codes,

two-dimensional cyclic codes.

 

 

 

 

 

Abstract

 

 

      We study quantum stabilizer codes and their connection to classical block codes. In addition, different constructions of quantum stabilizer codes and methods of modifying them are presented. Two-dimensional cyclic codes are recalled and a new method of obtaining quantum codes from 2-D cyclic codes is given. We also present a method of obtaining quantum stabilizer codes based from additive codes over F4.