Separability properties of three-mode Gaussian states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 64, Issue 5, 2001, Pages 10-

  Giedke, G ^a   Kraus, B ^a   Lewenstein, M ^b   Cirac, J I ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84864443961     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.64.052303     Document Type: Article

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35. To be precise, we should define J with an index n to keep track of the dimension of the space (Formula presented) on which it acts. But since n will always be clear from the context we will omit this index and just use J to make the expressions more readable.
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38. In the following, it is convenient to use the notation (Formula presented) for block-diagonal matrices: if A and B are (Formula presented) and (Formula presented) square matrices, respectively, then (Formula presented) is the (Formula presented) square matrix (Formula presented)
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44. In the case (Formula presented) the borders of the ellipses either do not intersect at all or coincide. In both cases we have to look for solutions among the remaining seven candidates.