Title :
The analysis of two-level quantum system states and control in the Bloch ball
Author_Institution :
Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei
Abstract :
The Bloch vector, or vector of coherence, provides a geometric description of the state and density matrix of two-state quantum system. Mathematically, the Bloch vector may be viewed as the adjoint representation of an su(2) object in an so(3) basis. The pure and mixed states details concerning the geometry of the Bloch ball for a qubit are investigated. The system controls with two and three magnetic fields to closed and open system are analyzed in the Bloch ball.
Keywords :
discrete systems; magnetic fields; quantum theory; vectors; Bloch ball; Bloch vector; coherence vector; two-level quantum system control; two-level quantum system states; two-state quantum system; Automation; Control systems; Geometry; Information analysis; Laboratories; Magnetic fields; Open systems; Quantum computing; Quantum mechanics; Rotation measurement; Density matrix; Pure state; Quantum system control; The Bloch ball; The Bloch sphere;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4604907
