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IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

qfusion-opt: Profile-Informed Gate Scheduling and Fusion Optimization for Accelerating Quantum Circuit Simulation

Po-Hsuan Huang, Kai-Chieh Chang, Yue Wu, Yue Wang, Yu-Tsung Wu, Chia-Heng Tu, Shih‐Hao Hung

Published Apr 3, 2026• 1 citation
Publisher

Abstract

Quantum circuit simulation is essential for testing and developing quantum algorithms, and recent advances have produced a range of simulators with diverse characteristics. Quantum gate fusion is a powerful optimization technique that improves simulation performance by reducing memory access and computational load. However, existing gate fusion methods usually overlook the performance characteristics of underlying simulation environments, resulting in suboptimal results. In this work, we propose a novel gate fusion compiler framework, qfusion-opt, to address this challenge. By using microbenchmarks to characterize performance across different simulation environments, qfusion-opt adaptively tailors circuit optimizations to the target platform. This approach enables higher simulation performance without requiring detailed knowledge of the underlying simulator or hardware. Experimental results show that qfusion-opt consistently improves performance across different simulation environments on quantum benchmark circuits, achieving up to 9.6x speedup on Qiskit-Aer and 3.0x speedup on Queen compared to the original circuits without gate fusion. Overall, qfusion-opt provides a practical step toward high performance quantum circuit simulation across different platforms.

DOI
10.1109/tcad.2026.3680784

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Quantum circuit simulation is essential for testing and developing quantum algorithms, and recent advances have produced a range of simulators with diverse characteristics. Quantum gate fusion is a powerful optimization technique that improves simulation performance by reducing memory access and computational load. However, existing gate fusion methods usually overlook the performance characteristics of underlying simulation environments, resulting in suboptimal results. In this work, we propose a novel gate fusion compiler framework, qfusion-opt, to address this challenge. By using microbenchmarks to characterize performance across different simulation environments, qfusion-opt adaptively tailors circuit optimizations to the target platform. This approach enables higher simulation performance without requiring detailed knowledge of the underlying simulator or hardware. Experimental results show that qfusion-opt consistently improves performance across different simulation environments on quantum benchmark circuits, achieving up to 9.6x speedup on Qiskit-Aer and 3.0x speedup on Queen compared to the original circuits without gate fusion. Overall, qfusion-opt provides a practical step toward high performance quantum circuit simulation across different platforms.
Quantum circuit simulation is crucial for the development of quantum algorithms, particularly given the high cost and noise limitations of physical quantum hardware. While full-state quantum circuit simulation is commonly employed for prototyping and debugging, it poses challenges because of the exponential increase in simulation time for large quantum systems. In this work, we propose an extensible framework designed to enhance simulation performance by optimizing both data locality and computational efficiency, thereby addressing these challenges. This framework is seamlessly integrated with an optimizer that restructures quantum circuits and a simulator that adjusts execution strategies for various quantum operations. For the newly developed components, merge booster and diagonal detector, the underlying algorithms are inspired by the principles of quantum entanglement and gate fusion, as well as by the limitations identified in existing third-party simulation libraries. The experiments were conducted on eight DGX-H100 workstations, each equipped with eight NVIDIA H100 GPUs, employing both gate-level and circuit-level benchmarks. The results indicate a speedup of up to 160 times for circuit-level benchmarks and an acceleration of up to 34 times for diagonal-heavy gate-level benchmarks compared to existing simulators. The proposed methodologies are anticipated to deliver more robust and faster quantum circuit simulations, thereby fostering the advancement of novel quantum algorithms.
Quantum circuit compilation is a critical step in realizing quantum algorithms on real quantum hardware. Traditional compilation methods often employ static optimization strategies, neglecting the unique constraints and characteristics of the target quantum device. This paper introduces a novel adaptive quantum circuit compilation framework designed to dynamically adjust circuit designs based on hardware-specific information, aiming to minimize gate count and, consequently, error rates. The core of the framework lies in integrating a hardware simulator directly within the compilation process. This allows the compiler to evaluate the performance of various circuit designs—considering factors like qubit connectivity, gate fidelity, and decoherence models—before committing to a final layout. The proposed approach represents a shift from static to adaptive optimization, providing a more nuanced and effective strategy for translating quantum algorithms into executable code on diverse quantum hardware platforms. This research demonstrates a significant potential improvement in quantum circuit efficiency and fidelity, addressing a key bottleneck in the advancement of quantum computing.
Classical simulation of quantum circuits remains indispensable for algorithm development, hardware validation, and error analysis in the noisy intermediate-scale quantum (NISQ) era. However, state-vector simulation faces exponential memory scaling, with an n-qubit system requiring O(2^n) complex amplitudes, and existing simulators often lack the flexibility to exploit heterogeneous computing resources at runtime. This paper presents a GPU-accelerated quantum circuit simulation framework that introduces three contributions: (1) an empirical backend selection algorithm that benchmarks CuPy, PyTorch-CUDA, and NumPy-CPU backends at runtime and selects the optimal execution path based on measured throughput; (2) a directed acyclic graph (DAG) based gate fusion engine that reduces circuit depth through automated identification of fusible gate sequences, coupled with adaptive precision switching between complex64 and complex128 representations; and (3) a memory-aware fallback mechanism that monitors GPU memory consumption and gracefully degrades to CPU execution when resources are exhausted. The framework integrates with Qiskit, Cirq, PennyLane, and Amazon Braket through a unified adapter layer. Benchmarks on an NVIDIA A100-SXM4 (40 GiB) GPU demonstrate speedups of 64x to 146x over NumPy CPU execution for state-vector simulation of circuits with 20 to 28 qubits, with speedups exceeding 5x from 16 qubits onward. Hardware validation on an IBM quantum processing unit (QPU) confirms Bell state fidelity of 0.939, a five-qubit Greenberger-Horne-Zeilinger (GHZ) state fidelity of 0.853, and circuit depth reduction from 42 to 14 gates through the fusion pipeline. The system is designed for portability across NVIDIA consumer and data-center GPUs, requiring no vendor-specific compilation steps.
Quantum circuit simulation is essential for researchers to develop and evaluate novel quantum algorithms with classical computers. Although full-state quantum circuit simulations are widely utilized for prototyping and debugging, they are computationally intensive due to the exponential growth in simulation time as the system size grows. To address the performance bottlenecks associated with conventional gate-by-gate simulation, this work refines the block-by-block simulation paradigm through blocking optimization, taking into account the architectural characteristics of hardware. The primary contribution of this research is the gate block search algorithm (GBSA), which efficiently groups the maximum number of quantum gates into gate blocks. This grouping technique enhances data reuse and reduces redundant memory accesses and I/O overhead during gate application. The proposed method is evaluated using both gate-level and circuit-level benchmarks on an AMD 64-core processor. Compared to conventional gate-by-gate simulators, such as QuEST and AerSimulator, the proposed approach achieves up to a 4.7× speedup in CPU execution and a 2.9× speedup in SSD-based scenarios. Furthermore, it can lead to a remarkable 46× reduction in memory and I/O traffic. These results indicate that the proposed block-based simulation strategy substantially improves the efficiency of quantum circuit simulation and can be readily adapted to multi-device environments, thereby supporting the rapid development of next-generation quantum algorithms.
A state vector-based quantum circuit simulation can provide accurate results for the development and validation of quantum computing algorithms, without being affected by noise interference. However, existing quantum circuit simulators have consistently underperformed due to inadequate integration with quantum circuits and high-performance computing architectures. To tackle the challenges in quantum computing, we propose QueenV2, which builds upon the design principles of Queen and elevates performance to a new level. Experimental results on the NVIDIA RTX-4090 demonstrate that QueenV2 achieves up to a 40x improvement in gate performance and a 5x improvement in circuit performance compared to hyQuas. Furthermore, QueenV2 realizes a 137x speedup in gate benchmarks and a 14x speedup in circuit performance relative to NVIDIA cuQuantum, enabled by gate fusion via the IBM Qiskit toolkit. By eliminating reliance on third-party libraries, QueenV2 is positioned to significantly accelerate quantum circuit simulation, thus promoting the development of innovative accelerators and quantum algorithms.
Scalable classical simulation of quantum circuits is crucial for advancing quantum algorithm development and validating emerging hardware. This work focuses on performance enhancements through targeted low-level and NUMA-aware tuning on a single-node system, thereby not only advancing the efficiency of classical quantum simulations but also establishing a foundation for scalable, heterogeneous implementations that bridge toward noiseless quantum computing. Although few prior studies have reported similar hardware-level optimizations, such implementations have not been released as open-source software, limiting independent validation and further development. We introduce an open-source, high-performance extension to the QuEST state vector simulator that integrates state-of-the-art low-level and NUMA-aware optimizations for modern processors. Our approach emphasizes locality-aware computation and incorporates hardware-specific techniques including NUMA-aware memory allocation, thread pinning, AVX-512 vectorization, aggressive loop unrolling, and explicit memory prefetching. Experiments demonstrate substantial speedups--5.5-6.5x for single-qubit gate operations, 4.5x for two-qubit gates, 4x for Random Quantum Circuits (RQC), and 1.8x for the Quantum Fourier Transform (QFT). Algorithmic workloads further achieve 4.3-4.6x acceleration for Grover and 2.5x for Shor-like circuits. These results show that systematic, architecture-aware tuning can significantly extend the practical simulation capacity of classical quantum simulators on current hardware.