Detecting initial system-environment correlations: Performance of various distance measures for quantum states

Abstract

We study the time evolution of four distance measures in the presence of initial systemenvironment correlations. It is well-known that the trace distance between two quantum states of an open system may increase due to initial correlations which leads to a breakdown of the contractivity of the reduced dynamics. Here we compare and analyze, for two different models, the time evolution of the trace distance, the Bures metric, the Hellinger distance and the Jensen-Shannon divergence regarding an increase above their initial values, witnessing initial correlations. This work generalizes, deepens and corrects the study performed by Dajka et al. [Phys. Rev. A 84 032120 (2011)] and thereby reveals generic features of the considered distance measures with respect to the capability of detecting initial system-environment correlations.

9 pages, 5 figures

References in corpus (6)

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• Witness for initial system-environment correlations in open system dynamics
• Initial correlations in open system's dynamics: The Jaynes-Cummings model
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Cited by in corpus (12)

• Non-Markovian dynamics in open quantum systems
• Revealing non-classicality of inaccessible objects
• Characterizing quantum dynamics with initial system-environment correlations
• Entropic bounds on information backflow
• Hellinger distance as a measure of Gaussian discord
• Generalized trace distance approach to quantum non-Markovianity and detection of initial correlations
• Time-optimal purification of a qubit in contact with a structured environment
• Holevo skew divergence for the characterization of information backflow
• Witness for initial correlations among environments
• Detecting Initial System-Environment Correlations in Open Systems
• Revealing correlations between a system and an inaccessible environment
• Adapted projection operator technique for the treatment of initial correlations