InformaÃÃo quÃntica e emaranhamento: uma abordagem usando Ãlgebra geomÃtrica

AUTOR(ES)

Roberto de Melo Dias

DATA DE PUBLICAÇÃO

2007

RESUMO

We studied the quantum entanglement as a quantum computation and quantum information tool. This research focused on the bipartite entanglement found between two qubits of a Heisenberg hamiltonian. The choice of this hamiltonian was motivated by the fact that it can be simulated by many distinct physical systems. Besides, the control of its parameters during a specific amount of time, allows the construction of logical gates. The focus on two qubits systems is motivated by the core objective of this thesis: a better understanding of the quantum entanglement. The study of simple cases provides a better comprehension of complex situations. The problem was studied through different ways: canonical, second quantization and also through geometric algebra. The main results consist on the entanglement of formation quantification at an arbitrary temperature. This quantification allows the attainment of entanglement by demand for quantum computation and quantum information use. A new comprehension of entanglement on geometric algebra language was also achieved

ASSUNTO(S)

quantum information computaÃÃo quÃntica emaranhamento geometric algebra fisica quantum computation Ãlgebra geomÃtrica entanglement informaÃÃo quÃntica

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