Local unitary versus local Clifford equivalence of stabilizer states

@article{Nest2005LocalUV,
  title={Local unitary versus local Clifford equivalence of stabilizer states},
  author={Maarten Van den Nest and Jeroen Dehaene and Bart De Moor},
  journal={Physical Review A},
  year={2005},
  volume={71},
  pages={062323}
}
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 every two LU equivalent states in this class are necessarily LC equivalent. Together with earlier results, this shows that LC, LU, and stochastic local operation with classical communication equivalence are the same notions for this class of stabilizer states. Moreover, recognizing whether two given stabilizer states… 
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