<p>The dynamic growth of artificial intelligence (AI)-based applications and cloud services has put a considerable strain on the energy use and security requirements of today data centers. Existing optimization methods can be inappropriate to address the multi-objective nature of the workload management, energy efficiency, and cybersecurity simultaneously due to their dynamic nature. In order to address these issues, the current research proposed a quantum-inspired optimization system founded on Quantum-Inspired Beetle Swarm Optimization (QBSO) as a way of ensuring data centre operation in a sustainable and safe manner. The proposed solution combines Variational Quantum Circuits (VQC) to schedule workloads based on the adaptive algorithm and Post-Quantum Cryptography (PQC) to provide strong data protection against the upcoming quantum attacks. Moreover, a Thermoelectric Waste Heat Recovery (TEWHR) module is also added as an auxiliary energy recovery system to transform surplus thermal energy into a reusable electrical energy, hence minimizing the actual energy used. The experimental assessments prove that the proposed framework provides a high degree of energy efficiency, low-cost of operation, and carbon emission reduction as opposed to the existing approaches. The findings affirm that QBSO combined with energy recovery system and quantum-safe security system offers a scalable and efficient system to managing sustainable data centres in the next generation.</p>