The LU-LC conjecture is false

Publisher:
Rinton Press
Publication Type:
Journal Article
Citation:
Quantum Information and Computation, 2010, 10 (1), pp. 97 - 108
Issue Date:
2010-01
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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.
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