Discontinuity of maximum entropy inference and quantum phase transitions

Chen, J; Ji, Z; Li, CK; Poon, YT; Shen, Y; Yu, N; Zeng, B; Zhou, D

Discontinuity of maximum entropy inference and quantum phase transitions

Chen, J Ji, Z

Li, CK Poon, YT Shen, Y Yu, N

Zeng, B Zhou, D

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Publication Type:: Journal Article
Citation:: New Journal of Physics, 2015, 17 (8)
Issue Date:: 2015-08-10

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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	Li, CK	en_US
dc.contributor.author	Poon, YT	en_US
dc.contributor.author	Shen, Y	en_US
dc.contributor.author	Yu, N https://orcid.org/0000-0003-1188-3032	en_US
dc.contributor.author	Zeng, B	en_US
dc.contributor.author	Zhou, D	en_US
dc.date.issued	2015-08-10	en_US
dc.identifier.citation	New Journal of Physics, 2015, 17 (8)	en_US
dc.identifier.issn	1367-2630	en_US
dc.identifier.uri	http://hdl.handle.net/10453/115932
dc.description.abstract	© 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. In this paper, we discuss the connection between two genuinely quantum phenomena - the discontinuity of quantum maximum entropy inference and quantum phase transitions at zero temperature. It is shown that the discontinuity of the maximum entropy inference of local observable measurements signals the non-local type of transitions, where local density matrices of the ground state change smoothly at the transition point. We then propose to use the quantum conditional mutual information of the ground state as an indicator to detect the discontinuity and the non-local type of quantum phase transitions in the thermodynamic limit.	en_US
dc.relation.ispartof	New Journal of Physics	en_US
dc.relation.isbasedon	10.1088/1367-2630/17/8/083019	en_US
dc.subject.classification	Fluids & Plasmas	en_US
dc.title	Discontinuity of maximum entropy inference and quantum phase transitions	en_US
dc.type	Journal Article
utslib.citation.volume	8	en_US
utslib.citation.volume	17	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
utslib.for	0206 Quantum Physics	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	8	en_US
pubs.publication-status	Published	en_US
pubs.volume	17	en_US

Abstract:

© 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. In this paper, we discuss the connection between two genuinely quantum phenomena - the discontinuity of quantum maximum entropy inference and quantum phase transitions at zero temperature. It is shown that the discontinuity of the maximum entropy inference of local observable measurements signals the non-local type of transitions, where local density matrices of the ground state change smoothly at the transition point. We then propose to use the quantum conditional mutual information of the ground state as an indicator to detect the discontinuity and the non-local type of quantum phase transitions in the thermodynamic limit.

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http://hdl.handle.net/10453/115932