Bell pair extraction using graph foliage techniques

Derek Zhang

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arXiv · 2311.16188

Bell pair extraction using graph foliage techniques

Derek Zhang

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Abstract

Future quantum networks can facilitate communication of quantum information between various nodes. We are particularly interested in whether multiple pairs can communicate simultaneously across a network. Quantum networks can be represented with graph states, and producing communication links amounts to performing certain quantum operations on graph states. This problem can be formulated in a graph-theoretic sense with the (Bell) vertex-minor problem. We discuss the recently introduced foliage partition and provide a generalization. This generalization leads us to a useful result for approaching the vertex-minor problem. We apply this result to identify the exact solution for the Bell vertex-minor problem on line, tree, and ring graphs.

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Derek Zhang. 2023-11-25. Bell pair extraction using graph foliage techniques. https://arxiv.org/abs/2311.16188

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