Title :
Quantum system Schmidt decomposition and its geometric analysis
Author :
Shuang, Cong ; Xianyong, Feng
Author_Institution :
Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei
Abstract :
Quantum entangled state and some common methods to measure entanglement are introduced, and Schmidt decomposition of 2-qubit quantum state and the method to identify the entangled state are induced. A method to calculate the degree of entanglement is also given, which is obtained very easily by using the Schmidt decomposition. An example about NMR quantum computation is discussed to illustrate the application of the Schmidt decomposition. The evolution of the state of sub-system is described by using the Bloch vector, which demonstrates the geometric prospect of quantum system.
Keywords :
geometry; quantum computing; quantum entanglement; vectors; 2-qubit quantum state; Bloch vector; NMR quantum computation; Schmidt decomposition; entanglement measurement; geometric analysis; quantum entangled state; quantum system; Algebra; Automation; Control systems; Hilbert space; Information science; Nuclear magnetic resonance; Physics computing; Quantum computing; Quantum entanglement; Quantum mechanics; Geometric analysis; Quantum computation; The Bloch vector; The Schmidt decomposition;
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.2008.4604906
