Sirvi Autor "Kangur, Uku" järgi
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listelement.badge.dso-type Kirje , Computing logical X and Z gates for stabilizer codes(Tartu Ülikool, 2022) Kangur, Uku; Theis, Dirk Oliver, juhendaja; Vidal, Francisco Javier Gil, juhendaja; Tartu Ülikool. Loodus- ja täppisteaduste valdkond; Tartu Ülikool. Arvutiteaduse instituutQuantum error correction is an inseparable part of making quantum computing viable for real-life use cases. The field heavily relies on experimentation, thus it is important that useful research software in the area exists and is openly available. This thesis introduces an algorithmic method for calculating logical X and Z operators given a set of Pauli group elements. The aim of the thesis is to analyse and implement this method in the Python programming language. Results and performance of the implemented program are given through experiments.listelement.badge.dso-type Kirje , Fast solving of systems of linear equations in decoding of LDPC codes(Tartu Ülikool, 2020) Kangur, Uku; Skachek, Vitaly, juhendaja; Kudryashov, Boris, juhendaja; Bocharova, Irina, juhendaja; Tartu Ülikool. Loodus- ja täppisteaduste valdkond; Tartu Ülikool. Arvutiteaduse instituutIn this thesis, a method is proposed, which is suitable for fast solving of sparse systems of linear equations over finite extension fields for the purpose of improving the speed of decoding related tasks for LDPC codes. The aim of the study is to optimize the Gaussian elimination algorithm for sparse systems of equations, which would solve the problem more efficiently than the standard approach. The proposed method is implemented in the Java language. Its performance is analyzed and tested experimentally.