Quantum Markov order

Taranto, P; Pollock, FA; Milz, S; Tomamichel, M; Modi, K

Quantum Markov order

Taranto, P Pollock, FA Milz, S Tomamichel, M

Modi, K

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Publication Type:: Journal Article
Citation:: Physical Review Letters, 2019, 122 (14)
Issue Date:: 2019-04-09

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Field	Value	Language
dc.contributor.author	Taranto, P	en_US
dc.contributor.author	Pollock, FA	en_US
dc.contributor.author	Milz, S	en_US
dc.contributor.author	Tomamichel, M https://orcid.org/0000-0001-5410-3329	en_US
dc.contributor.author	Modi, K	en_US
dc.date.accessioned	2020-03-15T22:25:27Z
dc.date.available	2020-03-15T22:25:27Z
dc.date.issued	2019-04-09	en_US
dc.identifier.citation	Physical Review Letters, 2019, 122 (14)	en_US
dc.identifier.issn	0031-9007	en_US
dc.identifier.uri	http://hdl.handle.net/10453/139308
dc.description.abstract	© 2019 American Physical Society. We formally extend the notion of Markov order to open quantum processes by accounting for the instruments used to probe the system of interest at different times. Our description recovers the classical property in the appropriate limit: When the stochastic process is classical and the instruments are noninvasive, i.e., restricted to orthogonal, projective measurements. We then prove that there do not exist non-Markovian quantum processes that have finite Markov order with respect to all possible instruments; the same process exhibits distinct memory effects when probed by different instruments. This naturally leads to a relaxed definition of quantum Markov order with respect to specified instrument sequences. The memory effects captured by different choices of instruments vary dramatically, providing a rich landscape for future exploration.	en_US
dc.relation.ispartof	Physical Review Letters	en_US
dc.relation.isbasedon	10.1103/PhysRevLett.122.140401	en_US
dc.rights	info:eu-repo/semantics/openAccess
dc.subject.classification	General Physics	en_US
dc.title	Quantum Markov order	en_US
dc.type	Journal Article
utslib.citation.volume	14	en_US
utslib.citation.volume	122	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/Faculty of Engineering and Information Technology/School of Computer Science
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access	*
pubs.issue	14	en_US
pubs.publication-status	Published	en_US
pubs.volume	122	en_US

Abstract:

© 2019 American Physical Society. We formally extend the notion of Markov order to open quantum processes by accounting for the instruments used to probe the system of interest at different times. Our description recovers the classical property in the appropriate limit: When the stochastic process is classical and the instruments are noninvasive, i.e., restricted to orthogonal, projective measurements. We then prove that there do not exist non-Markovian quantum processes that have finite Markov order with respect to all possible instruments; the same process exhibits distinct memory effects when probed by different instruments. This naturally leads to a relaxed definition of quantum Markov order with respect to specified instrument sequences. The memory effects captured by different choices of instruments vary dramatically, providing a rich landscape for future exploration.

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http://hdl.handle.net/10453/139308