Análogos geométricos e moleculares via ressonância magnética nuclear.

Abstract

In this work we treated of the representation of systems composed in the quantum mechanics, especially, the generalization of the geometric representation of a qubit in the sphere of Bloch, for n-qubits in a sphere to which we called sphere of Bodocongó ". We showed that the position of each qubit (Bloch sphere) in the Bodocongó sphere, it implicates in as each quantum computer (molecule) it is configured, in other words, to each new group of positions, there will be a different configuration for the quantum computer. With that new representation, it will be possible we configure the most several molecular systems, quantum computers, through the manipulation of the position of the qubits, Bloch spheres, in the Bodocongó sphere, with the variation of the static magnetic field, and still, to program such computers through the field of R.F., responsible for the unitary operations of rotation (gates logics). We got to show the relationship among the information contained in a spins system coupled with the curvature of the space to which the Hilbert space projective ℂ2, is submerged. Where did we see that, in the case in what the curvature is positive 𝜅�=1𝑅�2, and equal the 𝜅�=1, or be for 𝑅�=1, will we have all the possible overlap states, while in the case in what 𝜅�=0, in other words, 𝑅�→∞, nor are all the states superpostos more possible, did appearing the one what denominate of "geometric decoherence", evidencing the relationship among the information contained in the system, the Bloch spheres, with the curvature of the environment, the Bodocongó sphere. Therefore, the principal result of this work is that the proposed model was capable to represent and to configure a quantum computer, with 𝑛�−𝑞�𝑢�𝑏�𝑖�𝑡�𝑠� in the Bodocongó sphere, through the static field 𝑩�𝟎�, as well as to program him/it through the rocking field of R.F., through NMR.