Local unitary versus local Clifford equivalence of stabilizer states

Details Local unitary versus local Clifford equivalence of stabilizer states Local unitary versus local Clifford equivalence of stabilizer states

2004-11-16

arxiv.org/abs/quant-ph/0411115v2

Phys. Rev. A 71, 062323 (2005)

Physics

Quantum Physics

8 pages, replaced with published version

Scientific paper

10.1103/PhysRevA.71.062323

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 SLOCC equivalence are the same notions for this class of stabilizer states. Moreover, recognizing whether two given stabilizer states in the present subclass are locally equivalent only requires a polynomial number of operations in the number of qubits.

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