This paper proposes a Quantum-MUSIC, the first multiple signal classification (MUSIC) algorithm for quantum wireless sensing of multi-user. Since an atomic receiver for quantum wireless sensing can only measure the magnitude of a received signal, sensing performance degradation of traditional antenna-based signal processing algorithms is inevitable. To overcome this limitation, the proposed algorithm recovers the channel information and incorporates the traditional MUSIC algorithm, enabling the sensing of multi-user with magnitude-only measurement. Simulation results showed that the proposed algorithm outperforms the existing MUSIC algorithm, validating the superior potential of quantum wireless sensing.