Entanglement and non-markovianity of quantum evolutions.

By 'Angel Rivas, Susana F. Huelga, Martin Bodo Plenio. Physical Review Letters, 2009

845 citations recorded by the source corpus.

We address the problem of quantifying the non-markovian character of quantum time evolutions of general systems in contact with an environment. We introduce two different measures of non-markovianity that exploit the specific traits of quantum correlations and are suitable for opposite experimental contexts. When complete tomographic knowledge about the evolution is available, our measure provides a necessary and sufficient condition to quantify strictly the non-markovianity. In the opposite case, when no information whatsoever is available, we propose a sufficient condition for non-markovianity. Remarkably, no optimization procedure underlies our derivation, which greatly enhances the practical relevance of the proposed criteria.

Subfields: Artificial Intelligence, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/650d8d49ad99f9052b54cd06292f0aa97673ea14

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Citations in the corpus

Concepts of quantum non-Markovianity: A hierarchy (2017, background): “subsequently suggested taking divisibility itself as a definition of quantum Markovianity [13, 21].”
Colloquium: Non-Markovian dynamics in open quantum systems (2015, methodology): “This criterion was first suggested by Rivas et al. (2010).”
Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems (2011, background): “[21] an alternative measure for nonMarkovianity has been proposed which is based on the idea that a Markovian dynamics leads to a monotonic decrease of the entanglement between the open system and an isomorphic ancilla system, while a non-Markovian dynamics induces a temporary increase of the entang”
Dynamics of non-Markovian open quantum systems (2015, background): “However, as discussed by Rivas et al. (2010a), an Ohmic dissipation may lead to non-Markovian effects, when the coupling strength is higher than a certain value.”