Minimum entangling power is close to its maximum

Chen, J; Ji, Z; Kribs, DW; Zeng, B; Zhang, F

Minimum entangling power is close to its maximum

Chen, J Ji, Z

Kribs, DW Zeng, B Zhang, F

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Publication Type:: Journal Article
Citation:: Journal of Physics A: Mathematical and Theoretical, 2019, 52 (21)
Issue Date:: 2019-04-25

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Field	Value	Language
dc.contributor.author	Chen, J	en_US
dc.contributor.author	Ji, Z https://orcid.org/0000-0002-7659-3178	en_US
dc.contributor.author	Kribs, DW	en_US
dc.contributor.author	Zeng, B	en_US
dc.contributor.author	Zhang, F	en_US
dc.date.issued	2019-04-25	en_US
dc.identifier.citation	Journal of Physics A: Mathematical and Theoretical, 2019, 52 (21)	en_US
dc.identifier.issn	1751-8113	en_US
dc.identifier.uri	http://hdl.handle.net/10453/138210
dc.description.abstract	© 2019 IOP Publishing Ltd. Given a quantum gate U acting on a bipartite quantum system, its maximum (average, minimum) entangling power is the maximum (average, minimum) entanglement generation with respect to certain entanglement measures when the inputs are restricted to be product states. In this paper, we mainly focus on the 'weakest' one, i.e. the minimum entangling power, among all these entangling powers. We show that, by choosing the entropy of entanglement or Schmidt rank as entanglement measure, even the 'weakest' entangling power is generically very close to the maximum possible value of the entanglement measure. In other words, maximum, average and minimum entangling powers are generically close. We then study minimum entangling power with respect to other Lipschitiz-continuous (for the Hilbert space distance) entanglement measures and generalize our results to multipartite quantum systems.	en_US
dc.relation.ispartof	Journal of Physics A: Mathematical and Theoretical	en_US
dc.relation.isbasedon	10.1088/1751-8121/ab15e3	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	Minimum entangling power is close to its maximum	en_US
dc.type	Journal Article
utslib.citation.volume	21	en_US
utslib.citation.volume	52	en_US
utslib.for	0299 Other Physical Sciences	en_US
utslib.for	0101 Pure Mathematics	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	open_access
pubs.issue	21	en_US
pubs.publication-status	Published	en_US
pubs.volume	52	en_US

Abstract:

© 2019 IOP Publishing Ltd. Given a quantum gate U acting on a bipartite quantum system, its maximum (average, minimum) entangling power is the maximum (average, minimum) entanglement generation with respect to certain entanglement measures when the inputs are restricted to be product states. In this paper, we mainly focus on the 'weakest' one, i.e. the minimum entangling power, among all these entangling powers. We show that, by choosing the entropy of entanglement or Schmidt rank as entanglement measure, even the 'weakest' entangling power is generically very close to the maximum possible value of the entanglement measure. In other words, maximum, average and minimum entangling powers are generically close. We then study minimum entangling power with respect to other Lipschitiz-continuous (for the Hilbert space distance) entanglement measures and generalize our results to multipartite quantum systems.

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http://hdl.handle.net/10453/138210