Executive Summary : | The research on developing a reliable quantum computer is currently in high demand, with the Noisy Intermediate Scale Quantum (NISQ) era expected to progress into a full-fledged quantum computer with a large number of qubits. Quantum computers promise exponential speed in solving real-world problems, but noise is a hurdle. To control noise, quantum error correction techniques are used, but protocol-based error correction cannot assure arbitrary reliability due to the lesser number of qubits and faulty quantum devices. To achieve greater control, error correction codes using larger qubits can be applied. The goal is to study and develop practical methods to extract information from codes affected by different types of noise. Quantum low density parity check (QLDPC) codes are of interest due to their reliable nature. Topological codes, a class of QLDPC codes, have an additional structure to protect global information using local interaction. This project aims to study different topological codes proposed recently and evaluate one under various noise models. The outcome will focus on understanding QLDPC codes and evaluating their performance, a step towards the development of a perfect quantum computer in the future. |