Quantum Circuit Compilation

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Overview

Quantum circuit compilation turns an abstract quantum algorithm into operations that a particular device can execute, making efficient compilation important for limiting errors and scarce gate use. It includes gate synthesis and simplification, qubit mapping and routing, and hardware-specific scheduling such as ion shuttling. Approaches range from algebraic search and compiler-pass tuning to reinforcement learning, supervised models, and generative methods, evaluated on tasks such as Clifford synthesis, Hamiltonian simulation, and MQTBench or QUEKO routing circuits. A central challenge is balancing gate count and circuit depth against device-dependent fidelity, while ensuring methods scale and generalize across circuits and hardware.

Latest papers

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22 papers0 papers in the last four weeks, down 100% on the four weeks before. 0.0% of all new papers.

  1. AI-Assisted Discovery of CNOT Decompositions for Quantum Permutations on Constrained Topologies

    Oct 27, 2026Daniele Lizzio Bosco, Jacopo Cossio, Simone Faro +4Quantum Circuit SynthesisQuantum Circuit Compilation

    Department of Mathematical, Computer and Physical Sciences, University of Udine, Via delle Scienze 206, 33100 Udine, Italy · Department of Biology, University of Naples Federico II, Corso Umberto I 40, 80138 Napoli, Italy · Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy +1

  2. MQSS-Selector: RL-Guided Pass Selection for an MLIR Compilation Pipeline

    Sep 24, 2026Andre Youssefi, Ercüment Kaya, Minh Chung +3Quantum Circuit Compilation

    Leibniz Supercomputing Centre · Technical University of Munich · Munich Quantum Valley +1

  3. Bridge of ΨΨ's: Quantum Circuit Optimization with Schrödinger Bridges

    Sep 22, 2026Lino S. Hofstetter, Lia Yeh, Prakash MuraliQuantum Circuit OptimizationQuantum Circuit Compilation

    ETH Zürich Zürich, Switzerland · University of Cambridge Cambridge, United Kingdom

  4. LLM-Driven Algorithm Design for Quantum Circuit Synthesis based on Binary Decision Diagrams

    Sep 4, 2026Yoonju Sim, Federico Berto, Chuanbo Hua +2Quantum Circuit SynthesisQuantum Circuit Optimization

    Department of Industrial and Systems Engineering, KAIST, Daejeon, 34141, Republic of Korea · Radical Numerics, California, USA · Omelet, Inc., Daejeon, 34051, Republic of Korea

  5. Predicting Resource Efficient Hamiltonian Decomposition for Continuous-Time Quantum Walk Simulations

    Aug 21, 2026Mostafa Atallah, Rebekah Herrman, Zain H. SaleemQuantum Circuit SimulationQuantum Circuit Compilation

    University of Tennessee, Knoxville · Argonne National Laboratory

  6. AlphaClifford: Efficient Clifford Synthesis and Transpilation with Model-based RL

    Aug 19, 2026Daniele Lizzio Bosco, Jacopo Cossio, Carla Piazza +1Quantum Circuit CompilationProgram Synthesis

    University of Udine Udine, Italy · University of Naples “Federico II” Naples, Italy

  7. Transpiler Autotuning with Predictive Models for Quantum Circuit Optimization

    Jul 31, 2026Piotr Malkowski, Domenik Eichhorn, Joshua Ammermann +4Quantum Circuit OptimizationQuantum Circuit Compilation

    Karlsruhe Institute of Technology, Germany · Technical University of Munich, Germany

  8. Efficient LLM-Generated Shuttling Compilers for Complex Trapped-Ion Architectures

    Jul 27, 2026Fabian Kreppel, Reza Salkhordeh, Ferdinand Schmidt-Kaler +1Quantum Circuit CompilationLLM-Based Program Synthesis

    Institute of Computer Science, Johannes Gutenberg University, Mainz, Germany · Institute of Physics, Johannes Gutenberg University, Mainz, Germany · Department of Computer Science, Saarland University, Saarbrücken, Germany

  9. Lie Group Diffusion Models for Hardware-Aware Quantum Circuit Synthesis

    Jun 28, 2026Jyotirmai SinghQuantum Circuit CompilationQuantum Circuit Synthesis

    Department of Physics, Stanford University

  10. Graph Reinforcement Learning for Calibration-Aware Quantum Circuit Routing

    Jun 11, 2026Yash Vardhan Tomar, Dheeraj PeddireddyReinforcement LearningQuantum Circuit Compilation

    Purdue University West Lafayette, USA

  11. Hardware-aware Low-latency Quantum Compilation with Data-driven Lightweight Error Detection for Early Fault-Tolerant Systems

    Jun 4, 2026Sumit ChongderQuantum Circuit Compilation

    Indian Institute of Technology Jodhpur · Inter-Disciplinary Research Platform, Quantum Information and Computation, Indian Institute of Technology Jodhpur, Jodhpur, Rajasthan 342037, India

  12. CO-MAP: A Reinforcement Learning Approach to the Qubit Allocation Problem

    May 13, 2026Ankit Kulshrestha, Xiaoyuan LiuQuantum Circuit CompilationCombinatorial Optimization

    Fujitsu Research of America · Santa Clara, CA - 95054

  13. Physics Guided Generative Optimization for Trotter Suzuki Decomposition

    May 13, 2026WenBin YanQuantum Circuit OptimizationQuantum Circuit Compilation

    University of Colorado Boulder[quant-ph]

  14. QAP-Router: Tackling Qubit Routing as Dynamic Quadratic Assignment with Reinforcement Learning

    May 12, 2026Kien X. Nguyen, Ankit Kulshrestha, Ilya Safro +1Quantum Circuit CompilationCombinatorial Optimization

    Department of Computer and Information Sciences, University of Delaware, USA · Quantum Lab, Fujitsu Research of America, USA

  15. Equivariant Reinforcement Learning for Clifford Quantum Circuit Synthesis

    May 11, 2026Richie Yeung, Aleks Kissinger, Rob CornishEquivariant Neural NetworksQuantum Circuit Optimization

    Department of Computer Science, University of Oxford · Quantinuum · College of Computing and Data Science, Nanyang Technological University, Singapore

  16. From Characterization To Construction: Generative Quantum Circuit Synthesis from Gate Set Tomography Data

    May 2, 2026King Yiu Yu, Aritra Sarkar, Erbing Hua +3Quantum Circuit CompilationQuantum Generative Modeling

    1Quantum and Computer Engineering, Delft University of Technology, The Netherlands · 2QuTech, Delft University of Technology, The Netherlands · 3Kavli Institute of Nanoscience Delft, Delft University of Technology, The Netherlands

  17. AlphaCNOT: Learning CNOT Minimization with Model-Based Planning

    Apr 15, 2026Jacopo Cossio, Daniele Lizzio Bosco, Riccardo Romanello +2Quantum Circuit OptimizationQuantum Circuit Synthesis

    University of Udine, Italy · University of Udine & University “Federico II” of Naples, Italy

  18. QFlowNet: Fast, Diverse, and Efficient Unitary Synthesis with Generative Flow Networks

    Mar 3, 2026Inhoe Koo, Hyunho Cha, Jungwoo LeeQuantum Circuit SynthesisQuantum Circuit Compilation

    NextQuantum, Seoul National University, Republic of Korea

  19. Structured Unitary Tensor Network Representations for Circuit-Efficient Quantum Data Encoding

    Feb 18, 2026Guang Lin, Toshihisa Tanaka, Qibin ZhaoQuantum Data EncodingQuantum Machine Learning

    RIKEN Center for Advanced Intelligence Project · Tokyo University of Agriculture and Technology

  20. Beyond Reinforcement Learning: Fast and Scalable Quantum Circuit Synthesis

    Feb 16, 2026Lukas Theißinger, Thore Gerlach, David Berghaus +1Quantum Circuit SynthesisQuantum Circuit Compilation

    University of Bonn · European Space Agency, Advanced Concepts Team · Fraunhofer IAIS

  21. Qute: Towards Quantum-Native Database

    Feb 16, 2026Muzhi Chen, Xuanhe Zhou, Wei Zhou +7Relational DatabasesQuantum Circuit Compilation

    Shanghai Jiao Tong University · Tsinghua University · National University of Singapore +2

  22. Shuttling Compiler for Trapped-Ion Quantum Computers Based on Fine-Tuned Large Language Models

    Dec 19, 2025Fabian Kreppel, Reza Salkhordeh, Ferdinand Schmidt-Kaler +1Quantum Circuit CompilationLLM Fine-Tuning

    Institute of Computer Science, Johannes Gutenberg University, Staudingerweg 9, 55128 Mainz, Germany · Institute of Physics, Johannes Gutenberg University, Staudingerweg 7, 55128 Mainz, Germany · Department of Computer Science, Saarland University, Saarland Informatics Campus, E1 1, 66123 Saarbrücken, Germany