Quantum Physics


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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