In this paper, we propose a new characterization of non-Markovian quantum evolution based on the covariance matrix. The fundamental properties of covariance matrices are elucidated. The measure captures quite directly the characteristics of non-Markovianity from the perspective of uncertainty. We consider several typical examples and compare the covariance matrix characterization of quantum non-Markovianity with Fisher-information matrix, divisibility and the Breuer-Laine-Piilo characterization of quantum non-Markovianity.
CITATION STYLE
Fan, Y., Chen, L., Cao, H., & Meng, H. (2018). Quantum Non-Markovianity via the Covariance Matrix. International Journal of Theoretical Physics, 57(9), 2722–2737. https://doi.org/10.1007/s10773-018-3793-4
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