Quantum Error Correction

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Haghshenas, Reza | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 40912 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Karimipour, Vahid
Abstract:
One of the serious challenges we are facing in making quantum computers is the quantum error correction. Whereas system interact with the environment, quantum states are easily inf luenced and are suf fering f rom noise and error. T his makes the act of quantum computing be disrupted.T heory of quantum error correction has emerged for facing such a serious challenge. In this theory, many ways that are combined with several branches of mathematics were invited that are essentially dif ferent to classical error correction. one of these is stabilizer codes that show a rich structure and simple f rom classical error correction codes and in addition many quantum error correction codes can be described in term of stabilizer codes. T hese codes is used in other branches of quantum information like cryptography. In this thesis, we give a review of theory of quantum error correction, its application in quantum cryptography and investigation of structure of stabilizer codes.
Keywords:
Noise ; Secret Sharing ; Error Correction ; Stabilizer Code

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