As the next generation of power system, smart grid allows power suppliers to collect data in high-frequency from consumers’ data to support energy consumption regulation, intelligent electricity distribution and energy management. However, fine-grained energy related data also introduces challenges in security and privacy. How to protect consumer privacy has become a key issue in smart grid research. Currently, quantum computing science is developing rapidly.Lattice-based cryptography is one of the most promising families of candidates to the quantum-resistantwork. Concerning about the privacy protection inthe process of uploading real-time data from user meters to cell concentrators in the three-level model of smart grid, in this paper, we use lattice-based linkable ring signature to construct a quantum-resistant smart meter data acquisition scheme to protect user privacy. We choose an advanced short lattice-based ring signature scheme, which is built on the top of one-out-of-many proof with sub-linear size, and we add linkability to it in order to provide anomalous user monitoring and tracking functions for the quantum-resistant privacy preserving system. With a post-quantum signature scheme, our system supports dynamic user to join and revoke, and has better flexibility and practicability. The security proof and performance analysis of the system are carried out to show its effectiveness and feasibility.