Print Email Facebook Twitter Estimation of Error Probabilities for the Quantum Repetition Code Title Estimation of Error Probabilities for the Quantum Repetition Code Author Mulder, Jasper (TU Delft Applied Sciences; TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Terhal, B.M. (mentor) van der Vaart, A.W. (graduation committee) Varbanov, B.M. (graduation committee) Degree granting institution Delft University of Technology Programme Applied Mathematics | Applied Physics Date 2022-06-20 Abstract In this thesis, the repetition code for bit flip errors is examined. Based the stabilizer measurements outcome of a run of the repetition code, one does not know exactly which errors have occurred. Statistics can be used to estimate the probability of all possible error events. This probability estimation is investigated for simulated data assuming phenomenological and circuit level noise. Experiments on the repetition code are performed by the DiCarlo group at the Delft University of Technology on a superconducting quantum computer. For this data, some error probabilities are estimated to be nonphysical. The goal of this thesis is to investigate these nonphysical probabilities and to determine whether they result from sampling noise or a problem with the assumed error model that determines the estimation of the probabilities. By estimating the standard deviation using the bootstrap method it is shown that the nonphysical probabilities are not due to sampling noise. Therefore, it is possible that non-conventional errors, such as leakage or crosstalk, are affecting these estimates.In a further analysis on the error probabilities and their standard deviation, it is shown that the standard error for space and time edges in the experiment is consistent with the standard error from phenomenological noise initialised with the average error data and ancilla error probabilities, even whenthese may be affected by non-conventional errors. Subject Quantum Error CorrectionRepetition CodeStatistics To reference this document use: http://resolver.tudelft.nl/uuid:fc09d568-8800-425c-8986-01fe883c5b0e Part of collection Student theses Document type bachelor thesis Rights © 2022 Jasper Mulder Files PDF BEP_Report_Jasper_Mulder_final_.pdf 3.77 MB Close viewer /islandora/object/uuid:fc09d568-8800-425c-8986-01fe883c5b0e/datastream/OBJ/view