An O(n^3) algorithm builds quantum hashing and QFT circuits on cactus qubit graphs by solving the shortest non-simple 1-covering path problem in polynomial time.
Multiqudit quantum hashing and its implementation based on orbital angular momentum encoding.Laser Physics Letters, 19(12):125205
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Circuits of Quantum Hashing and Quantum Fourier Transform for a Cactus as a Qubit Connectivity Graph
An O(n^3) algorithm builds quantum hashing and QFT circuits on cactus qubit graphs by solving the shortest non-simple 1-covering path problem in polynomial time.