Local P T symmetry violates the no-signaling principle

Lee, YC; Hsieh, MH; Flammia, ST; Lee, RK

Local P T symmetry violates the no-signaling principle

Lee, YC Hsieh, MH

Flammia, ST Lee, RK

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Publication Type:: Journal Article
Citation:: Physical Review Letters, 2014, 112 (13)
Issue Date:: 2014-04-03

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Field	Value	Language
dc.contributor.author	Lee, YC	en_US
dc.contributor.author	Hsieh, MH https://orcid.org/0000-0002-3396-8427	en_US
dc.contributor.author	Flammia, ST	en_US
dc.contributor.author	Lee, RK	en_US
dc.date.issued	2014-04-03	en_US
dc.identifier.citation	Physical Review Letters, 2014, 112 (13)	en_US
dc.identifier.issn	0031-9007	en_US
dc.identifier.uri	http://hdl.handle.net/10453/43739
dc.description.abstract	Bender et al. [Phys. Rev. Lett. 80, 5243 (1998)] have developed PT-symmetric quantum theory as an extension of quantum theory to non-Hermitian Hamiltonians. We show that when this model has a local PT symmetry acting on composite systems, it violates the nonsignaling principle of relativity. Since the case of global PT symmetry is known to reduce to standard quantum mechanics A. Mostafazadeh [J. Math. Phys. 43, 205 (2001)], this shows that the PT-symmetric theory is either a trivial extension or likely false as a fundamental theory. © 2014 American Physical Society.	en_US
dc.relation.ispartof	Physical Review Letters	en_US
dc.relation.isbasedon	10.1103/PhysRevLett.112.130404	en_US
dc.subject.classification	General Physics	en_US
dc.title	Local P T symmetry violates the no-signaling principle	en_US
dc.type	Journal Article
utslib.citation.volume	13	en_US
utslib.citation.volume	112	en_US
utslib.for	080203 Computational Logic and Formal Languages	en_US
utslib.for	0206 Quantum Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	09 Engineering	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	13	en_US
pubs.publication-status	Published	en_US
pubs.volume	112	en_US

Abstract:

Bender et al. [Phys. Rev. Lett. 80, 5243 (1998)] have developed PT-symmetric quantum theory as an extension of quantum theory to non-Hermitian Hamiltonians. We show that when this model has a local PT symmetry acting on composite systems, it violates the nonsignaling principle of relativity. Since the case of global PT symmetry is known to reduce to standard quantum mechanics A. Mostafazadeh [J. Math. Phys. 43, 205 (2001)], this shows that the PT-symmetric theory is either a trivial extension or likely false as a fundamental theory. © 2014 American Physical Society.

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