Abstract
Abstract
This study combines the quantum Rubik’s Cube matrix with the Benalcazar–Bernevig–Hughes model, defines a matrix algorithm based on the reverse convolution process, and constructs an expression for the quantum Rubik’s Cube matrix and Hamiltonian. Furthermore, to make the operation of the quantum Rubik’s Cube matrix clearer, we use a Josephus ring to draw a topological graph of the Rubik’s Cube expansion. This study uses a quantum Rubik’s Cube to calculate energy-level transitions of electrons and shows that its operation corresponds to path integration. The band dispersion is obtained. This study provides new insights and methods for calculating Hamiltonians and studying energy-level structure.