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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We acknowledge the financial support by the Polish National Science Centre under the grant number N N514 513340.
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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Puchała, Z. Local controllability of quantum systems. Quantum Inf Process 12, 459–466 (2013). https://doi.org/10.1007/s11128-012-0391-x
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DOI: https://doi.org/10.1007/s11128-012-0391-x