RT Journal Article T1 Review of intermediate representations for quantum computing A1 Cardama Santiago, Francisco Javier A1 Vázquez Pérez, Jorge A1 Piñeiro Pomar, César Alfredo A1 Pichel Campos, Juan Carlos A1 Fernández Pena, Anselmo Tomás A1 Gómez, Andrés K1 Intermediate representation K1 Quantum compiling K1 Distributed quantum computing K1 Compilers AB Intermediate representations (IRs) are fundamental to classical and quantum computing, bridging high-level quantum programming languages and the hardware-specific instructions required for execution. This paper reviews the development of quantum IRs, focusing on their evolution and the need for abstraction layers that facilitate portability and optimization. Monolithic quantum IRs, such as QIR (Lubinski et al. in Front Phys 10:940293, 2022. https://doi.org/10.3389/fphy.2022.940293), QSSA (Peduri et al. in Proceedings of the 31st ACM SIGPLAN international conference on compiler construction. CC 2022. Association for Computing Machinery, New York, 2022), or Q-MLIR (McCaskey and Nguyen in Proceedings-2021 IEEE International Conference on Quantum Computing and Engineering, QCE, 2021), their effectiveness in handling abstractions, and their hybrid support between quantum-classical operations are evaluated. However, a key limitation is their inability to address qubit locality, an essential feature for distributed quantum computing (DQC). To overcome this, InQuIR (Nishio and Wakizaka in InQuIR: Intermediate Representation for Interconnected Quantum Computers, 2023. https://arxiv.org/abs/2302.00267) was introduced as an IR specifically designed for distributed systems, providing explicit control over qubit locality and inter-node communication. While effective in managing qubit distribution, InQuIR’s dependence on manual manipulation of communication protocols increases complexity for developers. NetQIR (Vázquez-Pérez et al. in NetQIR: An Extension of QIR for Distributed Quantum Computing, 2024. https://arxiv.org/abs/2408.03712), an extension of QIR for DQC, emerges as a solution to achieve the abstraction of quantum communications protocols. This review emphasizes the need for further advancements in IRs for distributed quantum systems, which will play a crucial role in the scalability and usability of future quantum networks. PB Springer Nature SN 0920-8542 YR 2025 FD 2025-01-21 LK https://hdl.handle.net/10347/41168 UL https://hdl.handle.net/10347/41168 LA eng NO Cardama, F. J., Vázquez-Pérez, J., Piñeiro, C., Pichel, J. C., Pena, T. F., & Gómez, A. (2025). Review of intermediate representations for quantum computing. "The Journal of Supercomputing", 81(418). NO This work was supported by MICINN through the European Union NextGenerationEU recovery plan (PRTR-C17.I1), and by the Galician Regional Government through the “Planes Complementarios de I+D+I con las Comunidades Autónomas” in Quantum Communication. This work was also supported by financial support from the Agencia Estatal de Investigación (Spain) (PID2022-141623NB-I00), the Xunta de Galicia - Consellerí a de Cultura, Educación, Formación Profesional e Universidades (Centro de investigación de Galicia accreditation 2024-2027 ED431G-2023/04 and Reference Competitive Group accreditation ED431C-2022/016), and the European Union (European Regional Development Fund - ERDF). DS Minerva RD 23 abr 2026