Códigos quânticos de correção de erros do tipo CWS

• Autor(a) principal: Santiago, Douglas Frederico Guimarães
• Data de Publicação: 2013
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações do LNCC
• Texto Completo: https://tede.lncc.br/handle/tede/152
• topic: Computadores quânticos; Quantum computers; CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO

Like a classical computer, a quantum computer would be affected by errors. Those need to be identified and corrected, so we need quantum error correcting codes. In this work, we study the Codeword Stabilized Quantum Codes (CWS codes) a generalization of the stabilizers quantum codes. First, we make a detailed description, with a new approach of the results about CWS codes on systems with more than one level (qudits). We make clear what results are correct in general and what results are correct only for qubits, qupits (prime number of levels) or what are correct for graph-states. We also show a new result that relates CWS codes with stabilizer codes generalizing the results found in the literature. After that, but only for qubits and CWS codes in a standard form, we also show new results on the kind of observables we may use to identify the errors in a CWS code. We create than a procedure to find these observables. Those observables not always suffices to identify the error, but when they do, the procedure to identify the errors is made in an efficient way.