Quantum Fisher information flow and non-Markovian processes of open systems

By Xiao-Ming Lu, Xiaoguang Wang, C. P. Sun. 2009

442 citations recorded by the source corpus.

We establish an information-theoretic approach for quantitatively characterizing the non-Markovianity of open quantum processes. Here, the quantum Fisher information (QFI) flow provides a measure to statistically distinguish Markovian and non-Markovian processes. A basic relation between the QFI flow and non-Markovianity is unveiled for quantum dynamics of open systems. For a class of time-local master equations, the exactly analytic solution shows that for each fixed time the QFI flow is decomposed into additive subflows according to different dissipative channels.

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

View Paper: https://www.semanticscholar.org/paper/8ded0d15e4adcd0502aaaa4c690cb1006b4c6a7f

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Concepts of quantum non-Markovianity: A hierarchy (2017, background): “Entanglement measures [90], entropic measures [25, 91] and quantum Fisher information [92] are also considered to quantify information flow.”
Dynamics of non-Markovian open quantum systems (2015, background): “Other non-Markovianity measures are based on the quantum Fisher information flow (Lu et al., 2010; Zhong et al., 2013) and Bures distance (Liu et al., 2013b), a quantification of the deviation from divisibility in terms of the negative values of transition maps (Rajagopal et al., 2010), or the…”
Colloquium: Non-Markovian dynamics in open quantum systems (2015, background): “…al., 2011a; Wißmann et al., 2013) or the study of other quantities, be they related to quantum information concepts or not, which might exhibit both a monotonic and an oscillating behavior in time (Bylicka et al., 2014; Fanchini et al., 2014; Haseli et al., 2014; Lu et al., 2010; Luo et al., 2012).”
IBM Q Experience as a versatile experimental testbed for simulating open quantum systems (2019, background): “(13), and an isolated qubit acting as memory, M.”
Quantum Fisher information matrix and multiparameter estimation (2019, background): “[127] in 2010 is a valid witness for non-Markovianity.”