Eternal non-Markovianity: from random unitary to Markov chain realisations

Abstract The theoretical description of quantum dynamics in an intriguing way does not necessarily imply the underlying dynamics is indeed intriguing. Here we show how a known very interesting master equation with an always negative decay rate [eternal non-Markovianity (ENM)] arises from simple stoc...

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Autores principales:	Nina Megier, Dariusz Chruściński, Jyrki Piilo, Walter T. Strunz
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2c7cee5685594c3287a7c6de1f83d457
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spelling	oai:doaj.org-article:2c7cee5685594c3287a7c6de1f83d4572021-12-02T12:30:18ZEternal non-Markovianity: from random unitary to Markov chain realisations10.1038/s41598-017-06059-52045-2322https://doaj.org/article/2c7cee5685594c3287a7c6de1f83d4572017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-06059-5https://doaj.org/toc/2045-2322Abstract The theoretical description of quantum dynamics in an intriguing way does not necessarily imply the underlying dynamics is indeed intriguing. Here we show how a known very interesting master equation with an always negative decay rate [eternal non-Markovianity (ENM)] arises from simple stochastic Schrödinger dynamics (random unitary dynamics). Equivalently, it may be seen as arising from a mixture of Markov (semi-group) open system dynamics. Both these approaches lead to a more general family of CPT maps, characterized by a point within a parameter triangle. Our results show how ENM quantum dynamics can be realised easily in the laboratory. Moreover, we find a quantum time-continuously measured (quantum trajectory) realisation of the dynamics of the ENM master equation based on unitary transformations and projective measurements in an extended Hilbert space, guided by a classical Markov process. Furthermore, a Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) representation of the dynamics in an extended Hilbert space can be found, with a remarkable property: there is no dynamics in the ancilla state. Finally, analogous constructions for two qubits extend these results from non-CP-divisible to non-P-divisible dynamics.Nina MegierDariusz ChruścińskiJyrki PiiloWalter T. StrunzNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Nina Megier Dariusz Chruściński Jyrki Piilo Walter T. Strunz Eternal non-Markovianity: from random unitary to Markov chain realisations
description	Abstract The theoretical description of quantum dynamics in an intriguing way does not necessarily imply the underlying dynamics is indeed intriguing. Here we show how a known very interesting master equation with an always negative decay rate [eternal non-Markovianity (ENM)] arises from simple stochastic Schrödinger dynamics (random unitary dynamics). Equivalently, it may be seen as arising from a mixture of Markov (semi-group) open system dynamics. Both these approaches lead to a more general family of CPT maps, characterized by a point within a parameter triangle. Our results show how ENM quantum dynamics can be realised easily in the laboratory. Moreover, we find a quantum time-continuously measured (quantum trajectory) realisation of the dynamics of the ENM master equation based on unitary transformations and projective measurements in an extended Hilbert space, guided by a classical Markov process. Furthermore, a Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) representation of the dynamics in an extended Hilbert space can be found, with a remarkable property: there is no dynamics in the ancilla state. Finally, analogous constructions for two qubits extend these results from non-CP-divisible to non-P-divisible dynamics.
format	article
author	Nina Megier Dariusz Chruściński Jyrki Piilo Walter T. Strunz
author_facet	Nina Megier Dariusz Chruściński Jyrki Piilo Walter T. Strunz
author_sort	Nina Megier
title	Eternal non-Markovianity: from random unitary to Markov chain realisations
title_short	Eternal non-Markovianity: from random unitary to Markov chain realisations
title_full	Eternal non-Markovianity: from random unitary to Markov chain realisations
title_fullStr	Eternal non-Markovianity: from random unitary to Markov chain realisations
title_full_unstemmed	Eternal non-Markovianity: from random unitary to Markov chain realisations
title_sort	eternal non-markovianity: from random unitary to markov chain realisations
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/2c7cee5685594c3287a7c6de1f83d457
work_keys_str_mv	AT ninamegier eternalnonmarkovianityfromrandomunitarytomarkovchainrealisations AT dariuszchruscinski eternalnonmarkovianityfromrandomunitarytomarkovchainrealisations AT jyrkipiilo eternalnonmarkovianityfromrandomunitarytomarkovchainrealisations AT waltertstrunz eternalnonmarkovianityfromrandomunitarytomarkovchainrealisations
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Eternal non-Markovianity: from random unitary to Markov chain realisations

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