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Inverse counting statistics for stochastic and open quantum systems : the characteristic polynomial approach

Inverse counting statistics for stochastic and open quantum systems : the characteristic polynomial approach

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BRUDERER, Martin, L. Debora CONTRERAS-PULIDO, Maximilian THALLER, Lucia SIRONI, Danail OBRESCHKOW, Martin B. PLENIO, 2014. Inverse counting statistics for stochastic and open quantum systems : the characteristic polynomial approach. In: New Journal of Physics. 16, 033030. eISSN 1367-2630

@article{Bruderer2014Inver-30479, title={Inverse counting statistics for stochastic and open quantum systems : the characteristic polynomial approach}, year={2014}, doi={10.1088/1367-2630/16/3/033030}, volume={16}, journal={New Journal of Physics}, author={Bruderer, Martin and Contreras-Pulido, L. Debora and Thaller, Maximilian and Sironi, Lucia and Obreschkow, Danail and Plenio, Martin B.}, note={Article Number: 033030} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/30479"> <dc:creator>Thaller, Maximilian</dc:creator> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/30479"/> <dc:contributor>Plenio, Martin B.</dc:contributor> <dc:contributor>Sironi, Lucia</dc:contributor> <dc:creator>Sironi, Lucia</dc:creator> <dcterms:issued>2014</dcterms:issued> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-03-23T09:27:36Z</dcterms:available> <dc:contributor>Contreras-Pulido, L. Debora</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-03-23T09:27:36Z</dc:date> <dc:contributor>Obreschkow, Danail</dc:contributor> <dc:creator>Obreschkow, Danail</dc:creator> <dcterms:abstract xml:lang="eng">We consider stochastic and open quantum systems with a finite number of states, where a stochastic transition between two specific states is monitored by a detector. The long-time counting statistics of the observed realizations of the transition, parametrized by cumulants, is the only available information about the system. We present an analytical method for reconstructing generators of the time evolution of the system compatible with the observations. The practicality of the reconstruction method is demonstrated by the examples of a laser-driven atom and the kinetics of enzyme-catalyzed reactions. Moreover, we propose cumulant-based criteria for testing the non-classicality and non-Markovianity of the time evolution, and lower bounds for the system dimension. Our analytical results rely on the close connection between the cumulants of the counting statistics and the characteristic polynomial of the generator, which takes the role of a cumulant generating function.</dcterms:abstract> <dc:creator>Contreras-Pulido, L. Debora</dc:creator> <dc:creator>Bruderer, Martin</dc:creator> <dc:contributor>Thaller, Maximilian</dc:contributor> <dc:contributor>Bruderer, Martin</dc:contributor> <dc:creator>Plenio, Martin B.</dc:creator> <dcterms:title>Inverse counting statistics for stochastic and open quantum systems : the characteristic polynomial approach</dcterms:title> </rdf:Description> </rdf:RDF>

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