The LU-LC conjecture is false

Zhengfeng, JI; Chen, J; Wei, Z; Ying, M

The LU-LC conjecture is false

Zhengfeng, JI Chen, J Wei, Z Ying, M

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Publication Type:: Journal Article
Citation:: Quantum Information and Computation, 2010, 10 (1-2), pp. 97 - 108
Issue Date:: 2010-01-01

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Field	Value	Language
dc.contributor.author	Zhengfeng, JI	en_US
dc.contributor.author	Chen, J	en_US
dc.contributor.author	Wei, Z	en_US
dc.contributor.author	Ying, M https://orcid.org/0000-0003-4847-702X	en_US
dc.date.issued	2010-01-01	en_US
dc.identifier.citation	Quantum Information and Computation, 2010, 10 (1-2), pp. 97 - 108	en_US
dc.identifier.issn	1533-7146	en_US
dc.identifier.uri	http://hdl.handle.net/10453/14585
dc.description.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. © Rinton Press.	en_US
dc.relation.ispartof	Quantum Information and Computation	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	The LU-LC conjecture is false	en_US
dc.type	Journal Article
utslib.citation.volume	1-2	en_US
utslib.citation.volume	10	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
utslib.for	0206 Quantum Physics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access
pubs.issue	1-2	en_US
pubs.publication-status	Published	en_US
pubs.volume	10	en_US

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. © Rinton Press.

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http://hdl.handle.net/10453/14585