Implementing Post-Quantum Homomorphic Encryption in the Eclipse Qrisp High-Level Programming Language for Quantum Computing

The rise of quantum computing/technology potentially introduces significant security challenges to cloud computing, necessitating quantum-resistant encryption, as well as protection schemes and methods for cloud infrastructures offering quantum computing services, i.e., quantum clouds. This paper explores the possibility for securing quantum clouds and ensuring privacy through the integration of homomorphic encryption (HE) into Eclipse Qrisp, a high-level programming quantum computing framework. Our study addresses the technical feasibility of integrating HE into Qrisp and evaluates resulting performance trade-offs. The successful implementation and Qrisp integration of three post-quantum cryptographic (PQC) algorithms demonstrates the feasibility of integrating HE into quantum computing frameworks and securing privacy and data protection in quantum cloud environments.