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dc.contributor.authorAl Jumaily, Maysara
dc.date.accessioned2021-11-16T16:18:55Z
dc.date.available2021-11-16T16:18:55Z
dc.identifier.urihttp://hdl.handle.net/10464/15405
dc.description.abstractThe objective of this thesis is to find suboptimal and optimal parameters from classical codes and import them into entanglement-assisted quantum codes. The thesis begins by introducing classical error correction, followed by a detailed introduction to quantum computing. Topics that are discussed in the introduction include qubits, quantum phenomena, such as superposition and entanglement, and quantum gates/circuits. The thesis then reviews the basics of quantum error correction and provides Shor's code to reinforce the reader's understanding. Subsequently, the formalism of stabilizer codes is thoroughly examined. We then explain the generalized concept of stabilizer codes which is entanglement-assisted quantum codes. They do not require generators to satisfy the commutativity property. Rather, they utilize the usage of ebits to resolve the anti-commutativity constraint. Next, the thesis explains quaternary field and then the Java program implemented to find the optimal parameters. Lastly, the thesis concludes with presenting the parameters of the new codes that were obtained throughout the research. We have found the suboptimal largest distance for quaternary hermitian linear complementary dual codes that can be imported as entanglement-assisted quantum error correction for parameters [22, 9, 9 or 10]₄, [22, 12, 7 or 8]₄, [23, 8, 11 or 12]₄, [23, 10, 9 or 10]₄, [23, 13, 7 or 8]₄, [24, 10, 10 or 11]₄, [24, 11, 9 or 10]₄, [24, 14, 7 or 8]₄, [25, 12, 9 or 10]₄, [25, 13, 8 or 9]₄, as well as the optimal largest distance for [17, 11, 5]₄ and [17, 13, 3]₄.en_US
dc.language.isoengen_US
dc.publisherBrock Universityen_US
dc.subjectQuantum Computingen_US
dc.subjectQuantum Error Correction Codesen_US
dc.subjectEntanglement-Assisted Quantum Error Correctionen_US
dc.subjectQuaternary Codesen_US
dc.subjectHermitian Linear Complementary Dual Codesen_US
dc.titleOptimal Quaternary Hermitian Linear Complementary Dual Codes for Entanglement-Assisted Quantum Error Correctionen_US
dc.typeElectronic Thesis or Dissertationen
dc.degree.nameM.Sc. Computer Scienceen_US
dc.degree.levelMastersen_US
dc.contributor.departmentDepartment of Computer Scienceen_US
dc.degree.disciplineFaculty of Mathematics and Scienceen_US
refterms.dateFOA2021-11-11T00:00:00Z


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