Quantum Error Correction Using Shor’s Bit-Flip Code

Abstract

This dissertation is slightly an introductory review to understand quantum computing and methods of quantum error correction, in this dissertationwe focused on interpreting the theoretical part of quantum noise and errors such as decoherence. We found that decoherce is a type of quantum error among many other types, resulting from the qubits interaction with the environment and thus leads to errors in the qubits that carry the quantum information, for example bit-flip and phase-shift errors. In particular we attempted to correct the bit-flip quantum error theoretically by using quantum error correction code, through applying a tool known as shor’s bit-flip codeinto the decohered state, and see if it is possible to correct this error and recover the lost quantum information encoded in the qubits. And we found that this method for quantum error correction is successful and can be developed to be more efficiently.