The security of the Internet of Things (IoT) is a key worry since it deals with personal data that must be dependable and can be used dangerously to control and manipulate device operations. In addition, the data generating process is heterogeneous, and the data is enormous in bulk, requiring complicated management. Quantum IoT, or Quantum Computing and IoT, is a notion of higher security design that utilizes quantum-mechanical principles on IoT security management. On the one hand, IoT is beneficial to us, but it also poses several major security risks, such as data leaks, side-channel attacks, malware, and data authentication. Classical cryptographic techniques, such as the Rivest-Shamir-Adleman (RSA) algorithm, perform admirably on traditional machines. However, quantum computing, which has enormous processing capacity and is more than capable of readily breaking current cryptographic algorithms, is steadily gaining traction. As a result, even before quantum computers are commercially available, we must create post-quantum cryptography algorithms to protect our systems from security breaches. Lattice-based cryptography, as a possible option for the future post-quantum cryptography standard, has the features of strong security guarantees and great efficiency, making it ideal for IoT applications. We discuss the benefits of lattice-based cryptography and its implementations for IoT devices in this study.