An axiomatic measure of one-way quantum information

Davide Girolami

doi:10.1016/j.physleta.2020.126739

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arXiv · 1909.08208

An axiomatic measure of one-way quantum information

Davide Girolami

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Abstract

I introduce an algorithm to detect one-way quantum information between two interacting quantum systems, i.e. the direction and orientation of the information transfer in arbitrary quantum dynamics. I then build an information-theoretic quantifier of one-way information which satisfies a set of desirable axioms. In particular, it correctly evaluates whether correlation implies one-way quantum information, and when the latter is transferred between uncorrelated systems. In the classical scenario, the quantity measures information transfer between random variables. I also generalize the method to identify and rank concurrent sources of quantum information flow in many-body dynamics, enabling to reconstruct causal patterns in complex networks.

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Davide Girolami. 2020-08-20. An axiomatic measure of one-way quantum information. https://doi.org/10.1016/j.physleta.2020.126739

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