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

fYear

2008

fDate

16-18 July 2008

Firstpage

142

Lastpage

145

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CHICC.2008.4604906

Filename

4604906