Geração dinâmica de estados GHZ

Abstract

Entanglement is at the heart of Quantum Mechanics, being a purely quantum correlation, with no analogous in Classical Mechanics. It is a resource that allows for the realization of protocols such as Quantum Teleportation and Quantum Cryptography, and a requirement for all implementations of a quantum computer. Thus, the search for entangled states is a matter of practical interest. In this dissertation, we present the dynamic generation of high fidelity GHZ class states in a system of N (up to 10) charged qubits, the latter interacting via a Coulomb-like interaction. Each qubit is to be considered a pair of quantum dots coupled by a tunneling parameter, sharing one extra electron. By utilizing specific conditions, regarding to parameters in the Hamiltonian and initial condition, we note the system to behave approximately as a two level one, containing states present in the GHZ definition. We also propose an effective model, which is capable of capture the dynamic’s complete essence and to provide estimations for some of the system’s important quantities, mainly the oscillation period, i.e., the time scale in which the dynamics takes place. We also analyse the experimental feasibility of the results here obtained.