When Is a Non-Markovian Quantum Process Classical?

More than a century after the inception of quantum theory, the question of which traits and phenomena are fundamentally quantum remains under debate. Here, we give an answer to this question for temporal processes that are probed sequentially by means of projective measurements of the same observabl...

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Autores principales:	Simon Milz, Dario Egloff, Philip Taranto, Thomas Theurer, Martin B. Plenio, Andrea Smirne, Susana F. Huelga
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/536eb4cb8a834ab4be83a22408847038
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spelling	oai:doaj.org-article:536eb4cb8a834ab4be83a224088470382021-12-02T14:09:04ZWhen Is a Non-Markovian Quantum Process Classical?10.1103/PhysRevX.10.0410492160-3308https://doaj.org/article/536eb4cb8a834ab4be83a224088470382020-12-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.041049http://doi.org/10.1103/PhysRevX.10.041049https://doaj.org/toc/2160-3308More than a century after the inception of quantum theory, the question of which traits and phenomena are fundamentally quantum remains under debate. Here, we give an answer to this question for temporal processes that are probed sequentially by means of projective measurements of the same observable. Defining classical processes as those that can, in principle, be simulated by means of classical resources only, we fully characterize the set of such processes. Based on this characterization, we show that for non-Markovian processes (i.e., processes with memory), the absence of coherence does not guarantee the classicality of observed phenomena; furthermore, we derive an experimentally and computationally accessible measure for nonclassicality in the presence of memory. We then provide a direct connection between classicality and the vanishing of quantum discord between the evolving system and its environment. Finally, we demonstrate that—in contrast to the memoryless setting—in the non-Markovian case, there exist processes that are genuinely quantum; i.e., they display nonclassical statistics independent of the measurement scheme that is employed to probe them.Simon MilzDario EgloffPhilip TarantoThomas TheurerMartin B. PlenioAndrea SmirneSusana F. HuelgaAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 4, p 041049 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Simon Milz Dario Egloff Philip Taranto Thomas Theurer Martin B. Plenio Andrea Smirne Susana F. Huelga When Is a Non-Markovian Quantum Process Classical?
description	More than a century after the inception of quantum theory, the question of which traits and phenomena are fundamentally quantum remains under debate. Here, we give an answer to this question for temporal processes that are probed sequentially by means of projective measurements of the same observable. Defining classical processes as those that can, in principle, be simulated by means of classical resources only, we fully characterize the set of such processes. Based on this characterization, we show that for non-Markovian processes (i.e., processes with memory), the absence of coherence does not guarantee the classicality of observed phenomena; furthermore, we derive an experimentally and computationally accessible measure for nonclassicality in the presence of memory. We then provide a direct connection between classicality and the vanishing of quantum discord between the evolving system and its environment. Finally, we demonstrate that—in contrast to the memoryless setting—in the non-Markovian case, there exist processes that are genuinely quantum; i.e., they display nonclassical statistics independent of the measurement scheme that is employed to probe them.
format	article
author	Simon Milz Dario Egloff Philip Taranto Thomas Theurer Martin B. Plenio Andrea Smirne Susana F. Huelga
author_facet	Simon Milz Dario Egloff Philip Taranto Thomas Theurer Martin B. Plenio Andrea Smirne Susana F. Huelga
author_sort	Simon Milz
title	When Is a Non-Markovian Quantum Process Classical?
title_short	When Is a Non-Markovian Quantum Process Classical?
title_full	When Is a Non-Markovian Quantum Process Classical?
title_fullStr	When Is a Non-Markovian Quantum Process Classical?
title_full_unstemmed	When Is a Non-Markovian Quantum Process Classical?
title_sort	when is a non-markovian quantum process classical?
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/536eb4cb8a834ab4be83a22408847038
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When Is a Non-Markovian Quantum Process Classical?

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