Yuma Tamura

Exact new-sector computation and finite-size spectral statistics of Grover walks on random graph lifts

We study finite-size spectral statistics of the positive new eigenangles of untwisted Grover walks on random lifts of four fixed regular base graphs: K4, the Petersen graph, the Frucht graph, and K5. The determinant identity of Konno and Sato, the old/new decomposition of graph covers, the covering determinant decompos...