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Quantum Liang Information Flow as Causation Quantifier

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arxiv 2201.00197 v3 pith:BL4CEHQO submitted 2022-01-01 quant-ph

Quantum Liang Information Flow as Causation Quantifier

classification quant-ph
keywords networkquantumflowinformationliangappliedcausationhere
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Liang information flow is a quantity widely used in classical network theory to quantify causation, and has been applied widely, for example, to finance and climate. The most striking aspect here is to freeze/subtract a certain node of the network to ascertain its causal influence to other nodes of the network. Such an approach is yet to be applied to quantum network dynamics. Here we generalize Liang information flow to the quantum domain using the von-Neumann entropy. Using that we propose to assess the relative importance of various nodes of a network to causally influence a target node. We exemplify the application by using small quantum networks.

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