A review on quantum error correction

Date

2023-12-06

Author

Kaya, Çetin İlhan

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In this thesis, we review the quantum error correction codes which are essential for quantum information processing and quantum telecommunication systems to work fault-tolerantly. The concern of this study is to produce a catalog containing recip- ies for quantum error correction codes. Physical realizations of given codes are not concern of this work. We mostly concentrate on stabilizer codes which are the most studied family of quantum error correction codes. Moreover codes that might serve as quantum memories and methods to optimize quantum error correction codes us- ing machine learning techniques are also discussed. For quantum memory candidate Haah cubic codes, we provide better equations describing commutation relations of the corner operators. Note that here we only consider QECCs useful for quantum industries.

Subject Keywords

Quantum error correction, Quantum information theory, Quantum computation, Quantum information processing

URI

https://hdl.handle.net/11511/107782

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Graduate School of Natural and Applied Sciences, Thesis