Quantum operation, quantum Fourier transform and semi-definite programming

Duan, R; Ji, Z; Feng, Y; Ying, M

Quantum operation, quantum Fourier transform and semi-definite programming

Duan, R

Ji, Z

Feng, Y

Ying, M

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Publication Type:: Journal Article
Citation:: Physics Letters, Section A: General, Atomic and Solid State Physics, 2004, 323 (1-2), pp. 48 - 56
Issue Date:: 2004-03-15

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Field	Value	Language
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.contributor.author	Feng, Y https://orcid.org/0000-0002-3097-3896	en_US
dc.contributor.author	Ying, M https://orcid.org/0000-0003-4847-702X	en_US
dc.date.issued	2004-03-15	en_US
dc.identifier.citation	Physics Letters, Section A: General, Atomic and Solid State Physics, 2004, 323 (1-2), pp. 48 - 56	en_US
dc.identifier.issn	0375-9601	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8321
dc.description.abstract	We analyze a class of quantum operations based on a geometrical representation of d-level quantum system (or qudit for short). A sufficient and necessary condition of complete positivity, expressed in terms of the quantum Fourier transform, is found for this class of operations. A more general class of operations on qudits is also considered and its completely positive condition is reduced to the well-known semi-definite programming problem. © 2004 Elsevier B.V. All rights reserved.	en_US
dc.relation.ispartof	Physics Letters, Section A: General, Atomic and Solid State Physics	en_US
dc.relation.isbasedon	10.1016/j.physleta.2004.01.045	en_US
dc.subject.classification	Fluids & Plasmas	en_US
dc.title	Quantum operation, quantum Fourier transform and semi-definite programming	en_US
dc.type	Journal Article
utslib.citation.volume	1-2	en_US
utslib.citation.volume	323	en_US
utslib.for	010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical 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	1-2	en_US
pubs.publication-status	Published	en_US
pubs.volume	323	en_US

Abstract:

We analyze a class of quantum operations based on a geometrical representation of d-level quantum system (or qudit for short). A sufficient and necessary condition of complete positivity, expressed in terms of the quantum Fourier transform, is found for this class of operations. A more general class of operations on qudits is also considered and its completely positive condition is reduced to the well-known semi-definite programming problem. © 2004 Elsevier B.V. All rights reserved.

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http://hdl.handle.net/10453/8321