An axiomatic measure of one-way quantum information |
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Institution: | Los Alamos National Laboratory, Theoretical Division, Los Alamos, NM, 87545, USA;Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy |
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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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Keywords: | Quantum information Quantum correlations Quantum dynamics |
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