## Properties of the Geometric Phases on Qbits

**Authors:** Anthony Pinedo Araujo

Since Berry demostrated that the standard description of adiabatic
processes in quantum mechanics was incomplete, geometric phases have
been studied in many areas of physics. Both adiabatic and non-adiabatic
phase are described in detail, with the mathematical background. Then
we study the qbit, that is the principal unit of information of the quantum
computation, and its representation on the Bloch sphere. Finally we
find the general expression for geometric phases for qbits. Those final
expression are in fact related to the solid angle enclosed in the circuit on
the Bloch sphere.

**Comments:** 39 pages. This paper is written in Spanish. The title and the
abstact are written in both languages English and Spanish. The content is in Spanish.

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### Submission history

[v1] 20 Jul 2009

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