The existence of quantum entanglement catalysts

Sun, X; Duan, R; Ying, M

The existence of quantum entanglement catalysts

Sun, X Duan, R

Ying, M

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Information Theory, 2005, 51 (1), pp. 75 - 80
Issue Date:: 2005-01-01

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Field	Value	Language
dc.contributor.author	Sun, X	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	2005-01-01	en_US
dc.identifier.citation	IEEE Transactions on Information Theory, 2005, 51 (1), pp. 75 - 80	en_US
dc.identifier.issn	0018-9448	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8949
dc.description.abstract	Without additional resources, it is often impossible to transform one entangled quantum state into another with local quantum operations and classical communication. Jonathan and Plenio (Phys. Rev. Lett., vol. 83, p. 3566, 1999) presented an interesting example showing that the presence of another state, called a catalyst, enables such a transformation without changing the catalyst. They also pointed out that in general it is very hard to find an analytical condition under which a catalyst exists. In this paper, we study the existence of catalysts for two incomparable quantum states. For the simplest case of 2 × 2 catalysts for transformations from one 4 × 4 state to another, a necessary and sufficient condition for existence is found. For the general case, we give an efficient polynomial time algorithm to decide whether a k × k catalyst exists for two n × n incomparable states, where k is treated as a constant. © 2005 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Information Theory	en_US
dc.relation.isbasedon	10.1109/TIT.2004.839477	en_US
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	The existence of quantum entanglement catalysts	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	51	en_US
utslib.for	0802 Computation Theory and Mathematics	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
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	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	51	en_US

Abstract:

Without additional resources, it is often impossible to transform one entangled quantum state into another with local quantum operations and classical communication. Jonathan and Plenio (Phys. Rev. Lett., vol. 83, p. 3566, 1999) presented an interesting example showing that the presence of another state, called a catalyst, enables such a transformation without changing the catalyst. They also pointed out that in general it is very hard to find an analytical condition under which a catalyst exists. In this paper, we study the existence of catalysts for two incomparable quantum states. For the simplest case of 2 × 2 catalysts for transformations from one 4 × 4 state to another, a necessary and sufficient condition for existence is found. For the general case, we give an efficient polynomial time algorithm to decide whether a k × k catalyst exists for two n × n incomparable states, where k is treated as a constant. © 2005 IEEE.

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http://hdl.handle.net/10453/8949