The diversity of quantum coding was expounded. Heuristic function in quantum-inspired computation for 8-puzzle was analyzed. A quantum-inspired algorithm and computing strategies based on heuristic function were presented. Quantum counter and unitary transformation operation were used to complete quantum computing for 8-puzzle problem, and quantum counter was set to maximum extension depth value. Quantum-inspired algorithm was compared with the classical algorithm. Finally, how to implement a quantum computer for the heuristic intelligent search was discussed further.