Open AccessDecompositions of beam splitter operator and its entanglement function
Author(s) -
Fang Jia,
Xue-Xiang Xu,
Cunjin Liu,
Jiehui Huang,
Li-Yun Hu,
Hong-Yi Fan
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.220301
Subject(s) - beam splitter , operator (biology) , orthogonality , quantum entanglement , transformation (genetics) , basis (linear algebra) , linear map , quantum mechanics , physics , quantum , algebra over a field , pure mathematics , mathematics , geometry , laser , biochemistry , chemistry , repressor , transcription factor , gene
Beam splitter (BS) is a basic linear element in quantum optics, which plays an important role in preparation of entangled states and quantum measurement. On the basis of the transformation relation between operators at input ports and output ports, we derive the natural representations in different representations. Using the natural expression rather than SU(2) Lie algebra relation, as well as the technique of integration within ordered product (IWOP) of operator, we can conveniently and concisely derive the normally ordering form and exponential expression of BS operator. Many forms of decompositions for BS operator can also be directly obtained by its natural representation and the orthogonality of coordinate states. Furthermore, the entangled state representation and corresponding Schmidt decomposition can be conveniently obtained.