Graphical description of the action of local Clifford transformations on graph states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 2, 2004, Pages 7-

  Van den Nest, Maarten ^a   Dehaene, Jeroen ^a   De Moor, Bart ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84861132895     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.022316     Document Type: Article

References (14)

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12. We will show in Sec. III that each stabilizer state is equivalent to a graph state under the local Clifford group.
13. This means that no product of the form (Formula presented) where (Formula presented) yields the identity except when all (Formula presented) are equal to zero.
14. Here we have used the fact that (Formula presented) and (Formula presented) are equivalent under the local Clifford group iff they have equivalent stabilizers (Formula presented) (Formula presented) i.e., iff there exists a local Clifford operation U such that (Formula presented)