dc.contributor.author | Tansuwannont, Theerapat | |
dc.date.accessioned | 2018-06-20 18:48:06 (GMT) | |
dc.date.available | 2018-06-20 18:48:06 (GMT) | |
dc.date.issued | 2018-06-20 | |
dc.date.submitted | 2018 | |
dc.identifier.uri | http://hdl.handle.net/10012/13431 | |
dc.description.abstract | Fault-tolerant quantum error correction (FTEC) protocol is one of the most important components for a fault-tolerant simulation of a quantum circuit. It helps prevent error accumulation during the process which may cause the computation to fail. In a physical implementation of fault-tolerant circuits, the number of required ancilla qubits for the FTEC protocol can be a major concern because it grows exponentially as the level of concatenation increases whereas the resources are limited. Recently, the idea of using flag qubits to detect high-weight errors caused by fewer faults in syndrome extraction circuits has been proposed. The use of flag qubits allows the construction of fault-tolerant protocols with the fewest number of ancillas known to-date. In this work, some critical properties of CSS codes constructed from classical cyclic codes that enable the construction of a flag fault-tolerant error correction scheme are proved, and a fault-tolerant protocol along with a family of circuits for flag fault-tolerant error correction are given. The flag-FTEC protocol proposed in this work requires only four ancilla qubits and applicable to CSS codes of distance 3 constructed from classical cyclic codes. | en |
dc.language.iso | en | en |
dc.publisher | University of Waterloo | en |
dc.subject | Quantum error correction | en |
dc.title | Flag fault-tolerant error correction for cyclic CSS codes | en |
dc.type | Master Thesis | en |
dc.pending | false | |
uws-etd.degree.department | Physics and Astronomy | en |
uws-etd.degree.discipline | Physics (Quantum Information) | en |
uws-etd.degree.grantor | University of Waterloo | en |
uws-etd.degree | Master of Science | en |
uws.contributor.advisor | Leung, Debbie | |
uws.contributor.affiliation1 | Faculty of Science | en |
uws.published.city | Waterloo | en |
uws.published.country | Canada | en |
uws.published.province | Ontario | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Unreviewed | en |
uws.scholarLevel | Graduate | en |