The fusion-minimization problem for photonic graph states is formalized as minimum trail cover; most bounded variants are NP-hard, but heuristics plus a TSP reduction give near-optimal fusion counts in benchmarks.
Extracting GHZ states from linear cluster states
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Finding trail covers: near-optimal decompositions of graph states as linear fusion networks
The fusion-minimization problem for photonic graph states is formalized as minimum trail cover; most bounded variants are NP-hard, but heuristics plus a TSP reduction give near-optimal fusion counts in benchmarks.