2 papers
quant-ph2026
A group structure arising from Grover walks on complete graphs with self-loops and its application
Tatsuya Tsurii, Naoharu Ito
This paper introduces a group-theoretic framework to analyze the algebraic structure of the Grover walk on a complete graph with self-loops. We construct a group generated by the G…
math.OC2016
Minimal state space realizations in Jacobson normal form
Naoharo Ito, Wiland Schmale, Harald Wimmer
We derive a procedure for a minimal state space realization of a rational transfer matrix over an arbitrary eld. The procedure is based on the Smith- McMillan form and leads to a s…