TY - JOUR
T1 - Accessible coherence in open quantum system dynamics
AU - Díaz, María García
AU - Desef, Benjamin
AU - Rosati, Matteo
AU - Egloff, Dario
AU - Calsamiglia, John
AU - Smirne, Andrea
AU - Skotiniotis, Michalis
AU - Huelga, Susana F.
N1 - Funding Information:
The authors thank Andreu Riera and Philipp Strasberg for interesting discussions on various aspects of the present work. The authors acknowledge support from Spanish MINECO, project FIS2016-80681-P with the support of AEI/FEDER funds; the Generalitat de Catalunya, project CIRIT 2017-SGR-1127; the ERC Synergy Grant BioQ. MGD is supported by a doctoral studies fellowship of the Fundaci?n ?la Caixa,? grant LCF/BQ/DE16/11570017. MS is supported by the Spanish MINECO, project IJCI-2015-24643. MR acknowledges partial financial support by the BaiduUAB collaborative project ?Learning of Quantum Hidden Markov Models.?
Funding Information:
The authors thank Andreu Riera and Philipp Strasberg for interesting discussions on various aspects of the present work. The authors acknowledge support from Spanish MINECO, project FIS2016-80681-P with the support of AEI/FEDER funds; the Generalitat de Catalunya, project CIRIT 2017-SGR-1127; the ERC Synergy Grant BioQ. MGD is supported by a doctoral studies fellowship of the Fundación “la Caixa,” grant LCF/BQ/DE16/11570017. MS is supported by the Spanish MINECO, project IJCI-2015-24643. MR acknowledges partial financial support by the Baidu-UAB collaborative project ‘Learning of Quantum Hidden Markov Models.’
Publisher Copyright:
© 2020 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All right reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/4/2
Y1 - 2020/4/2
N2 - Quantum coherence generated in a physical process can only be cast as a potentially useful resource if its effects can be detected at a later time. Recently, the notion of non-coherence-generating-and-detecting (NCGD) dynamics has been introduced and related to the classicality of the statistics associated with sequential measurements at different times. However, in order for a dynamics to be NCGD, its propagators need to satisfy a given set of conditions for all triples of consecutive times. We reduce this to a finite set of d(d - 1) conditions, where d is the dimension of the quantum system, provided that the generator is time-independent. Further conditions are derived for the more general time-dependent case. The application of this result to the case of a qubit dynamics allows us to elucidate which kind of noise gives rise to non-coherence-generation-and-detection.
AB - Quantum coherence generated in a physical process can only be cast as a potentially useful resource if its effects can be detected at a later time. Recently, the notion of non-coherence-generating-and-detecting (NCGD) dynamics has been introduced and related to the classicality of the statistics associated with sequential measurements at different times. However, in order for a dynamics to be NCGD, its propagators need to satisfy a given set of conditions for all triples of consecutive times. We reduce this to a finite set of d(d - 1) conditions, where d is the dimension of the quantum system, provided that the generator is time-independent. Further conditions are derived for the more general time-dependent case. The application of this result to the case of a qubit dynamics allows us to elucidate which kind of noise gives rise to non-coherence-generation-and-detection.
UR - http://www.scopus.com/inward/record.url?scp=85091239224&partnerID=8YFLogxK
U2 - 10.22331/q-2020-04-02-249
DO - 10.22331/q-2020-04-02-249
M3 - Article
AN - SCOPUS:85091239224
VL - 4
JO - Quantum
JF - Quantum
SN - 2521-327X
ER -