Local controllability of quantum systems
Zbigniew Pucha{\l}a
TL;DR
This paper introduces a topological criterion based on hypergraphs to determine the controllability of multipartite quantum systems, extending graph infection concepts beyond traditional graph theory.
Contribution
It generalizes the graph infection criterion to hypergraphs, providing a topological approach to quantum controllability that is independent of specific experimental setups.
Findings
Provides a sufficient controllability criterion for multipartite quantum systems
Extends infection property to hypergraph structures
Offers a topological method not tied to particular experiments
Abstract
We give a criterion that is sufficient for controllability of multipartite quantum systems. We generalize the graph infection criterion to the quantum systems that cannot be described with the use of a graph theory. We introduce the notation of hypergraphs and reformulate the infection property in this setting. The introduced criterion has a topological nature and therefore it is not connected to any particular experimental realization of quantum information processing.
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