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• W4327782379 abstract "Graph states are the main computational building blocks of measurement-based computation and a useful tool for error correction in the gate model architecture. The graph states form a class of quantum states which are eigenvectors for the abelian group of stabilizer operators. They own topological properties, arising from their graph structure, including the presence of highly connected nodes, called hubs. Starting from hub nodes, we demonstrate how to efficiently express a graph state through the generators of the stabilizer group. We provide examples by expressing the ring and the star topology, for which the number of stabilizers reduces from <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$n$</tex> to <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$lceilfrac{n}{2}rceil$</tex> , and from <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$n$</tex> to 1, respectively. We demonstrate that the graph states can be generated by a subgroup of the stabilizer group. Therefore, we provide an algebraic framework to manipulate the graph states with a reduced number of stabilizers." @default.
• W4327782379 created "2023-03-19" @default.
• W4327782379 creator A5017727346 @default.
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• W4327782379 date "2022-12-01" @default.
• W4327782379 modified "2023-09-26" @default.
• W4327782379 title "An efficient algebraic representation for graph states for measurement-based quantum computing" @default.
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• W4327782379 doi "https://doi.org/10.1109/icrc57508.2022.00015" @default.
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