The LU-LC conjecture is false
Quantum Physics
2010-01-19 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0709.1266,
title = {The LU-LC conjecture is false},
author = {Zhengfeng Ji and Jianxin Chen and Zhaohui Wei and Mingsheng Ying},
journal= {arXiv preprint arXiv:0709.1266},
year = {2010}
}
Comments
Added a new part explaining how the counterexamples are found