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quant-ph2026
Efficient Preparation of Graph States using the Quotient-Augmented Strong Split Tree
Nicholas Connolly, Shin Nishio, Dan E. Browne +2
Graph states are a key resource for measurement-based quantum computation and quantum networking, but state-preparation costs limit their practical use. Graph states related by loc…
math.CO2026
Local Equivalence Classes of Distance-Hereditary Graphs using Split Decompositions
Nicholas Connolly, Shin Nishio, Kae Nemoto
Local complement is a graph operation formalized by Bouchet which replaces the neighborhood of a chosen vertex with its edge-complement. This operation induces an equivalence relat…