This paper addresses the application of classical transfer of knowledge (ToK) methodology to the field of quantum computing. In particular, we present a common formal framework that integrates transfer learning and transfer optimization, and systematically categorize existing ToK strategies to help researchers understand their methodology in a broader context. In addition, we present novel quantum computing applications such as inverse annealing, multitask QAOA, and sequential VQE approaches, demonstrating the potential of ToK. Finally, we present the challenges and opportunities of integrating ToK into quantum computing, emphasizing its potential to reduce resource requirements and improve problem-solving speed.