The Quantum Rubik's Cube: A Tool for Research on Quantum Systems

Abstract The quantum Rubik's cube exhibits distinctive dual characteristics of high dimensionality and multi‐projection. Its multi‐projection surfaces can present quantum system information from diverse angles, whereas its high‐dimensional nature can be harnessed to probe complex system architectures. In this study, a quantum Rubik's cube is integrated with the Heisenberg model to formulate a novel Hamiltonian form. A fourth‐order quantum Rubik's cube is used to investigate the quantum phase transition, and a fifth‐order Rubik's cube is used to simulate the jumps of electrons across different energy levels, demonstrating the effectiveness of this approach. This holds significant potential for enabling physicists to delve more profoundly into the characteristics and laws of quantum systems, thereby providing substantial support for the theoretical advancement of quantum physics.