When is there a multipartite maximum entangled state?

Duan, R; Shi, Y

When is there a multipartite maximum entangled state?

Duan, R

Shi, Y

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Publication Type:: Journal Article
Citation:: Quantum Information and Computation, 2010, 10 (11-12), pp. 925 - 935
Issue Date:: 2010-11-01

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Field	Value	Language
dc.contributor.author	Duan, R https://orcid.org/0000-0002-4388-7487	en_US
dc.contributor.author	Shi, Y	en_US
dc.date.issued	2010-11-01	en_US
dc.identifier.citation	Quantum Information and Computation, 2010, 10 (11-12), pp. 925 - 935	en_US
dc.identifier.issn	1533-7146	en_US
dc.identifier.uri	http://hdl.handle.net/10453/13031
dc.description.abstract	For a multipartite quantum system of the dimension d1 ⊗ d2 ⊗· ⊗ dn, where d1 ≥ d2 ≥ · ≥ d2, is there an entangled state maximum in the sense that all other states in the system can be obtained from the state through local quantum operations and classical communications (LOCC)? When d1 ≥ ∏ni=2 di, such state exists. We show that this condition is also necessary. Our proof, somewhat surprisingly, uses results from algebraic complexity theory.	en_US
dc.relation.ispartof	Quantum Information and Computation	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	When is there a multipartite maximum entangled state?	en_US
dc.type	Journal Article
utslib.citation.volume	11-12	en_US
utslib.citation.volume	10	en_US
utslib.for	0206 Quantum Physics	en_US
dc.location.activity	ISI:000282921000003	en_US
dc.location.activity	Faculty of Engineering, University of Auckland, Auckland, New Zealand
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	11-12	en_US
pubs.publication-status	Published	en_US
pubs.volume	10	en_US

Abstract:

For a multipartite quantum system of the dimension d1 ⊗ d2 ⊗· ⊗ dn, where d1 ≥ d2 ≥ · ≥ d2, is there an entangled state maximum in the sense that all other states in the system can be obtained from the state through local quantum operations and classical communications (LOCC)? When d1 ≥ ∏ni=2 di, such state exists. We show that this condition is also necessary. Our proof, somewhat surprisingly, uses results from algebraic complexity theory.

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http://hdl.handle.net/10453/13031