Characterizing locally indistinguishable orthogonal product states

Feng, Y; Shi, Y

Characterizing locally indistinguishable orthogonal product states

Feng, Y

Shi, Y

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Information Theory, 2009, 55 (6), pp. 2799 - 2806
Issue Date:: 2009-06-17

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Field	Value	Language
dc.contributor.author	Feng, Y https://orcid.org/0000-0002-3097-3896	en_US
dc.contributor.author	Shi, Y	en_US
dc.date.issued	2009-06-17	en_US
dc.identifier.citation	IEEE Transactions on Information Theory, 2009, 55 (6), pp. 2799 - 2806	en_US
dc.identifier.issn	0018-9448	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9080
dc.description.abstract	Bennett et al. Physical Review A, vol. 59, no. 2, p. 1070, 1999] identified a set of orthogonal product states in the Hilbert space ℂ3 ⊗ ℂ3 such that reliably distinguishing those states requires nonlocal quantum operations. While more examples have been found for this counterintuitive "nonlocality without entanglement" phenomenon, a complete and computationally verifiable characterization for all such sets of states remains unknown. In this paper, we give such a characterization for both ℂ3 ⊗ ℂ3 and ℂ2 ⊗ ℂ2 ⊗ ℂ2. As a consequence, we show that in both spaces, there is no additional set of a fundamentally different structure than those of the known instances. © 2009 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Information Theory	en_US
dc.relation.isbasedon	10.1109/TIT.2009.2018330	en_US
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	Characterizing locally indistinguishable orthogonal product states	en_US
dc.type	Journal Article
utslib.citation.volume	6	en_US
utslib.citation.volume	55	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	1005 Communications Technologies	en_US
dc.location.activity	ISI:000266878500028	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	55	en_US

Abstract:

Bennett et al. Physical Review A, vol. 59, no. 2, p. 1070, 1999] identified a set of orthogonal product states in the Hilbert space ℂ3 ⊗ ℂ3 such that reliably distinguishing those states requires nonlocal quantum operations. While more examples have been found for this counterintuitive "nonlocality without entanglement" phenomenon, a complete and computationally verifiable characterization for all such sets of states remains unknown. In this paper, we give such a characterization for both ℂ3 ⊗ ℂ3 and ℂ2 ⊗ ℂ2 ⊗ ℂ2. As a consequence, we show that in both spaces, there is no additional set of a fundamentally different structure than those of the known instances. © 2009 IEEE.

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