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quant-ph2024
A mathematical framework for maze solving using quantum walks
Leo Matsuoka, Hiromichi Ohno, Etsuo Segawa
We provide a mathematical framework for identifying the shortest path in a maze using a Grover walk, which becomes non-unitary by introducing absorbing holes. In this study, we def…
quant-ph2024
Quantum walks on graphs embedded in orientable surfaces
Yusuke Higuchi, Etsuo Segawa
A quantum walk model which reflects the -cell embedding on the orientable closed surface of a graph in the dynamics is introduced. We show that the scattering matrix is obtained…