Physics – Quantum Physics
Scientific paper
2007-09-09
Quantum Inf. Comput., Vol. 10, No. 1&2, 97-108, 2010
Physics
Quantum Physics
Added a new part explaining how the counterexamples are found
Scientific paper
The LU-LC conjecture is an important open problem concerning the structure of entanglement of states described in the stabilizer formalism. It states that two local unitary equivalent stabilizer states are also local Clifford equivalent. If this conjecture were true, the local equivalence of stabilizer states would be extremely easy to characterize. Unfortunately, however, based on the recent progress made by Gross and Van den Nest, we find that the conjecture is false.
Chen Jianxin
Ji Zhengfeng
Wei Zhaohui
Ying Mingsheng
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