336 citations · 992 across the 17 of their papers we have counts for
5 papers · 2 filters
Local unitary versus local Clifford equivalence of stabilizer states
M. Van den Nest, J. Dehaene, B. De Moor
We study the relation between local unitary (LU) equivalence and local Clifford (LC) equivalence of stabilizer states. We introduce a large subclass of stabilizer states, such that…
The invariants of the local Clifford group
Maarten Van den Nest, Jeroen Dehaene, Bart De Moor
We study the algebra of complex polynomials which remain invariant under the action of the local Clifford group under conjugation. Within this algebra, we consider the linear space…
Finite set of invariants to characterize local Clifford equivalence of stabilizer states
M. Van den Nest, J. Dehaene, B. De Moor
The classification of stabilizer states under local Clifford (LC) equivalence is of particular importance in quantum error-correction and measurement-based quantum computation. Two…
An efficient algorithm to recognize local Clifford equivalence of graph states
Maarten Van den Nest, Jeroen Dehaene, Bart De Moor
In [Phys. Rev. A 69, 022316 (2004)] we presented a description of the action of local Clifford operations on graph states in terms of a graph transformation rule, known in graph th…
Local invariants of stabilizer codes
Maarten Van den Nest, Jeroen Dehaene, Bart De Moor
In [Phys. Rev. A 58, 1833 (1998)] a family of polynomial invariants which separate the orbits of multi-qubit density operators under the action of the local unitary group was p…