Optimal state pairs for non-Markovian quantum dynamics

By S. Wissmann, Antti Karlsson, Elsi-Mari Laine, Jyrki Piilo, H. Breuer. 2012

148 citations recorded by the source corpus.

We study a recently proposed measure for the quantification of quantum non-Markovianity in the dynamics of open systems which is based on the exchange of information between the open system and its environment. This measure relates the degree of memory effects to certain optimal initial state pairs featuring a maximal flow of information from the environment back to the open system. We rigorously prove that the states of these optimal pairs must lie on the boundary of the space of physical states and that they must be orthogonal. This implies that quantum memory effects are maximal for states which are initially distinguishable with certainty, having a maximal information content. Moreover, we construct an explicit example which demonstrates that optimal quantum states need not be pure states.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7fc773ff909182ed35367641006392055c900b0e

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Colloquium: Non-Markovian dynamics in open quantum systems (2015, methodology): “As shown by Wißmann et al. (2012) and discussed in Sec.”