Modified belief propagation decoders applied to non-CSS QLDGM codes.
Quantum technology is becoming increasingly popular, and big companies are starting to invest huge amounts of money to ensure they do not get left behind in this technological race. Presently, qubits and operational quantum channels may be thought of as far-fetched ideas, but in the future, quantum...
| Main Authors: | , |
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| Format: | info:eu-repo/semantics/bachelorThesis |
| Language: | eng |
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Servicio de Publicaciones. Universidad de Navarra
2021
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10171/61092 |
| _version_ | 1793400340882653184 |
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| author | Aizpurua Altuna, B. (Borja) Crespo-Bofil, P. (Pedro) |
| author_facet | Aizpurua Altuna, B. (Borja) Crespo-Bofil, P. (Pedro) |
| author_sort | Aizpurua Altuna, B. (Borja) |
| collection | DSpace |
| description | Quantum technology is becoming increasingly popular, and big companies are starting to invest huge amounts of money to ensure they do not get left behind in this technological race. Presently, qubits and operational quantum channels may be thought of as far-fetched ideas, but in the future, quantum computing will be of critical importance. In this project, it is provided a concise overview of the basics of coding theory and how they can be used in the design of quantum computers. Specifically, Low Density Parity Check (LDPC) codes are focused, as they can be integrated within the stabilizer construction to build effective quantum codes. Following this, it is introduced the specifics of the quantum paradigm and present the most common family of quantum codes: stabilizer codes. Finally, it is explained the codes that have been used in this project, discussing what type of code they are and how they are designed. In this last section, it is also presented the ultimate goal of the project: using modified belief propagation decoders that had previously been tested for QLDPCs, for the proposed non-CSS QLDGM codes of this project. |
| format | info:eu-repo/semantics/bachelorThesis |
| id | oai:dadun.unav.edu:10171-61092 |
| institution | Universidad de Navarra |
| language | eng |
| publishDate | 2021 |
| publisher | Servicio de Publicaciones. Universidad de Navarra |
| record_format | dspace |
| spelling | oai:dadun.unav.edu:10171-610922021-09-02T11:35:41Z Modified belief propagation decoders applied to non-CSS QLDGM codes. Aizpurua Altuna, B. (Borja) Crespo-Bofil, P. (Pedro) Modified BP decoders QLDGM codes Quantum technology is becoming increasingly popular, and big companies are starting to invest huge amounts of money to ensure they do not get left behind in this technological race. Presently, qubits and operational quantum channels may be thought of as far-fetched ideas, but in the future, quantum computing will be of critical importance. In this project, it is provided a concise overview of the basics of coding theory and how they can be used in the design of quantum computers. Specifically, Low Density Parity Check (LDPC) codes are focused, as they can be integrated within the stabilizer construction to build effective quantum codes. Following this, it is introduced the specifics of the quantum paradigm and present the most common family of quantum codes: stabilizer codes. Finally, it is explained the codes that have been used in this project, discussing what type of code they are and how they are designed. In this last section, it is also presented the ultimate goal of the project: using modified belief propagation decoders that had previously been tested for QLDPCs, for the proposed non-CSS QLDGM codes of this project. 2021-07-14T10:09:57Z 2021-07-14T10:09:57Z 2021-06 2021-06-11 info:eu-repo/semantics/bachelorThesis https://hdl.handle.net/10171/61092 eng info:eu-repo/semantics/openAccess application/pdf Servicio de Publicaciones. Universidad de Navarra |
| spellingShingle | Modified BP decoders QLDGM codes Aizpurua Altuna, B. (Borja) Crespo-Bofil, P. (Pedro) Modified belief propagation decoders applied to non-CSS QLDGM codes. |
| title | Modified belief propagation decoders applied to non-CSS QLDGM codes. |
| title_full | Modified belief propagation decoders applied to non-CSS QLDGM codes. |
| title_fullStr | Modified belief propagation decoders applied to non-CSS QLDGM codes. |
| title_full_unstemmed | Modified belief propagation decoders applied to non-CSS QLDGM codes. |
| title_short | Modified belief propagation decoders applied to non-CSS QLDGM codes. |
| title_sort | modified belief propagation decoders applied to non-css qldgm codes. |
| topic | Modified BP decoders QLDGM codes |
| url | https://hdl.handle.net/10171/61092 |
| work_keys_str_mv | AT aizpuruaaltunabborja modifiedbeliefpropagationdecodersappliedtononcssqldgmcodes AT crespobofilppedro modifiedbeliefpropagationdecodersappliedtononcssqldgmcodes |