Condition and capability of quantum state separation

Feng, Y; Duan, R; Ji, Z

Condition and capability of quantum state separation

Feng, Y

Duan, R

Ji, Z

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Publication Type:: Journal Article
Citation:: Physical Review A - Atomic, Molecular, and Optical Physics, 2005, 72 (1)
Issue Date:: 2005-07-01

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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	Ji, Z https://orcid.org/0000-0002-7659-3178	en_US
dc.date.issued	2005-07-01	en_US
dc.identifier.citation	Physical Review A - Atomic, Molecular, and Optical Physics, 2005, 72 (1)	en_US
dc.identifier.issn	1050-2947	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8389
dc.description.abstract	The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination. In this paper we show that in a probabilistic manner, linearity is in fact the only one that restricts the physically realizable tasks. To be specific, if a system is prepared in a state secretly chosen from a linearly independent pure state set, then any quantum state separation can be physically realized with a positive probability. Furthermore, we derive a lower bound on the average failure probability of any quantum state separation. © 2005 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.72.012313	en_US
dc.subject.classification	General Physics	en_US
dc.title	Condition and capability of quantum state separation	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	72	en_US
utslib.for	0105 Mathematical 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	open_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	72	en_US

Abstract:

The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination. In this paper we show that in a probabilistic manner, linearity is in fact the only one that restricts the physically realizable tasks. To be specific, if a system is prepared in a state secretly chosen from a linearly independent pure state set, then any quantum state separation can be physically realized with a positive probability. Furthermore, we derive a lower bound on the average failure probability of any quantum state separation. © 2005 The American Physical Society.

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http://hdl.handle.net/10453/8389