Quantum Rubik's Cube: Infinite Possibilities and a Quantum Advantage

Mathematicians have created a quantum Rubik's Cube with infinite possible states, introducing novel quantum moves. Unlike the classic Rubik's Cube's finite permutations, the quantum version allows for superposition, where pieces exist in multiple states simultaneously. Simulations comparing classical, quantum, and combined solving algorithms revealed the combined approach performed best, followed by quantum, then classical. While the classical solver could sometimes achieve faster solutions, the quantum solver provided more consistent solving times. This research offers a fresh perspective on quantum computing and presents a fascinating puzzle for math enthusiasts.