The obtained results in the field of quantum informatics clearly demonstrate the high technological potential of quantum technologies. A cryptanalytically relevant or significant quantum computer can threaten the operation of various systems, including national blockchain ecosystems and platforms in the Russian Federation. In this situation, a concept of ensuring the resilience of the operation of national digital platforms and blockchain ecosystems under the new quantum security threat is needed, the provisions of which are substantiated in this article. The concept contains a justification for the relevance of the problem and strategic goals of ensuring quantum resilience, national interests in the field of quantum information technologies, the presence of quantum threats to the operation of digital platforms and blockchain ecosystems, methods, means and priority measures to ensure the quantum resilience of national digital platforms and blockchain ecosystems. The main directions of further research of the group “Technologies for countering previously unknown quantum cyber threats” of the Scientific Center for Information Technology and Artificial Intelligence of the Sirius University of Science and Technology, aimed at implementing the proposed concept, are also considered.