Separability of a mixture of Dicke states

Yu, N

Separability of a mixture of Dicke states

Yu, N

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Publication Type:: Journal Article
Citation:: Physical Review A, 2016, 94 (6)
Issue Date:: 2016-12-16

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Field	Value	Language
dc.contributor.author	Yu, N https://orcid.org/0000-0003-1188-3032	en_US
dc.date.issued	2016-12-16	en_US
dc.identifier.citation	Physical Review A, 2016, 94 (6)	en_US
dc.identifier.issn	2469-9926	en_US
dc.identifier.uri	http://hdl.handle.net/10453/122405
dc.description.abstract	© 2016 American Physical Society. The structural relation between multipartite entanglement and symmetry is one of the central mysteries of quantum mechanics. In this paper, we study the separability of quantum states in the bosonic system. We show that a mixture of multiqubit Dicke states is separable if and only if its partial transpose is positive semidefinite, which confirms the hypothesis of Wolfe and Yelin [E. Wolfe and S. F. Yelin, Phys. Rev. Lett. 112, 140402 (2014)PRLTAO0031-900710.1103/PhysRevLett.112.140402]. We generalize this result to a class of bosonic states in the d - d system; and for general d, we determine its separability is NP-hard although verifiable conditions for separability are easily derived when d=3,4.	en_US
dc.relation.ispartof	Physical Review A	en_US
dc.relation.isbasedon	10.1103/PhysRevA.94.060101	en_US
dc.title	Separability of a mixture of Dicke states	en_US
dc.type	Journal Article
utslib.citation.volume	6	en_US
utslib.citation.volume	94	en_US
utslib.for	0802 Computation Theory and Mathematics	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	6	en_US
pubs.publication-status	Published	en_US
pubs.volume	94	en_US

Abstract:

© 2016 American Physical Society. The structural relation between multipartite entanglement and symmetry is one of the central mysteries of quantum mechanics. In this paper, we study the separability of quantum states in the bosonic system. We show that a mixture of multiqubit Dicke states is separable if and only if its partial transpose is positive semidefinite, which confirms the hypothesis of Wolfe and Yelin [E. Wolfe and S. F. Yelin, Phys. Rev. Lett. 112, 140402 (2014)PRLTAO0031-900710.1103/PhysRevLett.112.140402]. We generalize this result to a class of bosonic states in the d - d system; and for general d, we determine its separability is NP-hard although verifiable conditions for separability are easily derived when d=3,4.

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http://hdl.handle.net/10453/122405