he purpose of this project is to analyze the influence of the duration of the interaction between the meter and the system over the final result in problems related to quantum information. For this aim, we will use the formalism developed by the candidate during his PhD that uses the Lindblad equation to analyze situations in which the system interacts not only with the meter (by a Markovian interaction), but also with the environment (in an non-Markovian interaction). In this formalism, by superoperators and Nakajima-Zwanzig projectors, we had obtained a master equation where the environment degrees of freedom are facorized of the principal system plus measurement apparatus degress of freedom. Beginning with analytical solutions obtained and published for the situation of a 2 level system (1 qubit) interacting with a bath of harmonic oscillators, we will make solutions varying the system-bath interaction, the environment density of states, gradually increasing the qubits number. The applications will involve irreversible quantum computation and quantum information by quantum Brownian movement. The latter demands put the Caldeira-Leggett equation on the Lindblad form (under specific hypothesis) for the use of the proposed formalism.
News published in Agência FAPESP Newsletter about the scholarship: