Relation between catalyst-assisted transformation and multiple-copy transformation for bipartite pure states

Feng, Y; Duan, R; Ying, M

Relation between catalyst-assisted transformation and multiple-copy transformation for bipartite pure states

Feng, Y

Duan, R

Ying, M

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Publication Type:: Journal Article
Citation:: Physical Review A - Atomic, Molecular, and Optical Physics, 2006, 74 (4)
Issue Date:: 2006-10-20

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Field	Value	Language
dc.contributor.author	Feng, Y https://orcid.org/0000-0002-3097-3896	en_US
dc.contributor.author	Duan, R https://orcid.org/0000-0002-4388-7487	en_US
dc.contributor.author	Ying, M https://orcid.org/0000-0003-4847-702X	en_US
dc.date.issued	2006-10-20	en_US
dc.identifier.citation	Physical Review A - Atomic, Molecular, and Optical Physics, 2006, 74 (4)	en_US
dc.identifier.issn	1050-2947	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8415
dc.description.abstract	We show that in some cases, catalyst-assisted entanglement transformation cannot be implemented by multiple-copy transformation for pure states. This fact, together with the result we obtained in R. Y. Duan, Y. Feng, X. Li, and M. S. Ying, Phys. Rev. A 71, 042319 (2005), namely that the latter can be completely implemented by the former, indicates that catalyst-assisted transformation is strictly more powerful than multiple-copy transformation. For the purely probabilistic setting we find, however, these two kinds of transformations are geometrically equivalent in the sense that the sets of pure states that can be converted into a given pure state with maximal probabilities not less than a given value have the same closure, regardless of whether catalyst-assisted transformation or multiple-copy transformation is used. © 2006 The American Physical Society.	en_US
dc.relation.ispartof	Physical Review A - Atomic, Molecular, and Optical Physics	en_US
dc.relation.isbasedon	10.1103/PhysRevA.74.042312	en_US
dc.subject.classification	General Physics	en_US
dc.title	Relation between catalyst-assisted transformation and multiple-copy transformation for bipartite pure states	en_US
dc.type	Journal Article
utslib.citation.volume	4	en_US
utslib.citation.volume	74	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	03 Chemical Sciences	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	closed_access
pubs.issue	4	en_US
pubs.publication-status	Published	en_US
pubs.volume	74	en_US

Abstract:

We show that in some cases, catalyst-assisted entanglement transformation cannot be implemented by multiple-copy transformation for pure states. This fact, together with the result we obtained in R. Y. Duan, Y. Feng, X. Li, and M. S. Ying, Phys. Rev. A 71, 042319 (2005), namely that the latter can be completely implemented by the former, indicates that catalyst-assisted transformation is strictly more powerful than multiple-copy transformation. For the purely probabilistic setting we find, however, these two kinds of transformations are geometrically equivalent in the sense that the sets of pure states that can be converted into a given pure state with maximal probabilities not less than a given value have the same closure, regardless of whether catalyst-assisted transformation or multiple-copy transformation is used. © 2006 The American Physical Society.

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http://hdl.handle.net/10453/8415