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Basic Theory and Implementations of Quantum Error Correction

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Název: Basic Theory and Implementations of Quantum Error Correction
Autoři: Rodriguez, Derek
Zdroj: Undergraduate Theses, Capstones, and Recitals
Informace o vydavateli: Digital Commons @ DU
Rok vydání: 2025
Témata: Quantum error correction (QEC), Shor’s Factoring Algorithm, 9-qubit CSS code, Surface code, Toric code, Threshold theorem, Fault-tolerant quantum computation, College of Natural Science and Mathematics, Mathematics, Computer Sciences, Other Computer Sciences, Other Mathematics, Physics, Quantum Physics
Popis: The introduction of quantum computing has presented algorithmic solutions to computationally difficult challenges that are far more efficient than those of classical computers. These algorithms leverage the properties of quantum mechanics to manipulate the quantum properties of subatomic particles, requiring immense precision and stability. Current quantum hardware, however, is too noisy and introduces too many errors for these algorithms to be useful in practice, necessitating the use of error correction algorithms. This field survey seeks to introduce various principles of quantum mechanics relevant to quantum computing and quantum error correction (QEC), detail the implementation and motivations of a basic QEC algorithm, and provide insight into the current research direction.
Druh dokumentu: text
Popis souboru: application/pdf
Jazyk: English
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Relation: https://digitalcommons.du.edu/undergraduate_theses/54; https://digitalcommons.du.edu/context/undergraduate_theses/article/1054/viewcontent/Basic_Theory_and_Implementations_of_Quantum_Error_Correction.pdf
DOI: 10.56902/ETDCRP.2025.40
Dostupnost: https://digitalcommons.du.edu/undergraduate_theses/54
https://doi.org/10.56902/ETDCRP.2025.40
https://digitalcommons.du.edu/context/undergraduate_theses/article/1054/viewcontent/Basic_Theory_and_Implementations_of_Quantum_Error_Correction.pdf
Rights: http://creativecommons.org/licenses/by/4.0/
Přístupové číslo: edsbas.D5D53D09
Databáze: BASE
Popis
Abstrakt:The introduction of quantum computing has presented algorithmic solutions to computationally difficult challenges that are far more efficient than those of classical computers. These algorithms leverage the properties of quantum mechanics to manipulate the quantum properties of subatomic particles, requiring immense precision and stability. Current quantum hardware, however, is too noisy and introduces too many errors for these algorithms to be useful in practice, necessitating the use of error correction algorithms. This field survey seeks to introduce various principles of quantum mechanics relevant to quantum computing and quantum error correction (QEC), detail the implementation and motivations of a basic QEC algorithm, and provide insight into the current research direction.
DOI:10.56902/ETDCRP.2025.40