Abstract
Abstract Quantum information theory is a well-developed discipline today. Like classical information theory, one central part of quantum information theory is quantum error correction. In quantum coding theory, stabilizer codes are probably the most important class of quantum codes. They are regarded as the quantum analogue of the classical linear codes and the properties of stabilizer codes have been carefully studied in the literature. In this thesis, we focus on the construction of stabilizer codes and discuss some known quantum codes. We will propose a new but simple perspective on construction by classical parity-check matrices.