Published December 12, 2003 | Version v1
Journal article Metadata-only

Characterization of entanglement transformation via group representation theory

Creators

  • 1. NLSM, Institute of Semiconductors, Chinese Academy of Sciences, PO Box 912, Beijing 100083 (China)
  • 2. Department of Chemistry, Hong Kong University of Science and Technology, Kowloon, Hong Kong (China)

Description

Entanglement transformation of composite quantum systems is investigated in the context of group representation theory. Representation of the direct product group SL(2, C) x SL(2, C), composed of local operators acting on the binary composite system, is realized in the four-dimensional complex space in terms of a set of novel bases that are pseudo-orthonormalized. The two-to-one homomorphism is then established for the group SL(2, C) x SL(2, C) onto the SO(4, C). It is shown that the resulting representation theory leads to the complete characterization for the entanglement transformation of the binary composite system

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/12267/a3_49_009.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0305-4470/36/12267/a3_49_009.pdf; http://www.iop.org/;
DOI
10.1088/0305-4470/36/49/009;
PII
S0305-4470(03)64961-9;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
49
Journal Page Range
p. 12267-12273
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35018312
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMPLEX MANIFOLDS; GROUP THEORY; QUANTUM MECHANICS; SL GROUPS; SO-4 GROUPS
Descriptors DEC
LIE GROUPS; MATHEMATICAL MANIFOLDS; MATHEMATICS; MECHANICS; SO GROUPS; SYMMETRY GROUPS