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SuperFermion: A Leap Forward in Quantum Circuit Simulation Efficiency

Md. Hasibul Hassan Himal, Muhebbullah Tamim

Published Oct 22, 2026• 0 citations
Publisher

Abstract

This Zenodo upload contains the complete evaluation data, benchmark suites, and preprint manuscript for SuperFermion: A Leap Forward in Quantum Circuit Simulation Efficiency. The study evaluates SuperFermion against prominent open-source quantum simulation frameworks—including Qiskit Aer, PennyLane, Cirq, Qulacs, and Stim—across multiple execution paradigms: Statevector Learning: Assesses 252 identical conditions (4 to 20 qubits) across quantum kernel estimation (QSVM, QKRR, QKPCA), variational learning (VQC, VQR), combinatorial optimization (QAOA, VQE), and circuit sweeps, totaling 1,512 simulator jobs. Matrix Product States (MPS) & Dynamic Circuits: Explores bounded entanglement, canonical tensor structures, and mid-circuit measurements/feed-forward operations, scaling structured circuits up to 1,000 qubits and native MPS teleportation to 120 qubits. Specialized Execution Modes: Examines compiled adjoint gradients, dense-core density matrices, and a unified binary stabilizer/Clifford tableau sampling engine across up to 4,096 qubits. The repository provides source-traceable verification logs, JSONL/CSV records, capability probes, analysis scripts, and an integrated manuscript comprising comprehensive performance tables and scaling figures.

DOI
10.5281/zenodo.23574612

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This Zenodo upload contains the complete evaluation data, benchmark suites, and preprint manuscript for SuperFermion: A Leap Forward in Quantum Circuit Simulation Efficiency. The study evaluates SuperFermion against prominent open-source quantum simulation frameworks—including Qiskit Aer, PennyLane, Cirq, Qulacs, and Stim—across multiple execution paradigms: Statevector Learning: Assesses 252 identical conditions (4 to 20 qubits) across quantum kernel estimation (QSVM, QKRR, QKPCA), variational learning (VQC, VQR), combinatorial optimization (QAOA, VQE), and circuit sweeps, totaling 1,512 simulator jobs. Matrix Product States (MPS) & Dynamic Circuits: Explores bounded entanglement, canonical tensor structures, and mid-circuit measurements/feed-forward operations, scaling structured circuits up to 1,000 qubits and native MPS teleportation to 120 qubits. Specialized Execution Modes: Examines compiled adjoint gradients, dense-core density matrices, and a unified binary stabilizer/Clifford tableau sampling engine across up to 4,096 qubits. The repository provides source-traceable verification logs, JSONL/CSV records, capability probes, analysis scripts, and an integrated manuscript comprising comprehensive performance tables and scaling figures.
The increasing complexity of quantum algorithms and the limitations of current Noisy Intermediate-Scale Quantum (NISQ) hardware underscore the importance of efficient classical simulators. To support informed decision-making by users of quantum circuit simulators, we benchmark seven statevector-based quantum circuit simulators (Qiskit, Qulacs, Qibo, Qsimov, Cirq, Pennylane and the Intel Quantum Simulator (IQS)) on a multicore node of the Lusitania high-performance computing (HPC) system. We evaluate their performance in terms of execution time, memory usage and core scalability using Grover’s algorithm, the quantum Fourier transform (QFT), and quantum volume (QV) circuits, across qubit counts ranging from 3 to 30. Our results reveal that Qulacs offers the best performance for circuits below 22 qubits, while Qiskit becomes the fastest for larger and more complex circuits. Qiskit and Qulacs achieve the most efficient parallel performance across multiple cores, while others display limited scaling benefits. IQS shows the lowest memory consumption in QFT and QV benchmarks for systems under 24 qubits; however, it suffers from higher execution times, particularly for Grover’s algorithm. The experimental implementation of Qsimov consistently underperforms in both runtime and scalability; for this reason, it is employed as a baseline in our measurements, serving to highlight the importance of performance optimizations in statevector-based quantum circuit simulators. Previous findings provide a comprehensive performance landscape to guide researchers in selecting appropriate simulators for both standard and large-scale quantum workloads on HPC infrastructures.
Quantum circuit simulation at scale demands high-performance computing (HPC) frameworks capable of distributing exponentially growing state vectors and tensor networks across heterogeneous compute clusters. As quantum algorithm development accelerates and circuits approach 50-100 qubits in practical workloads, simulation bottlenecks shift from single-node memory constraints to inter-node communication overhead, GPU memory bandwidth, and framework-level scheduling inefficiencies. This paper proposes the HPC Quantum Simulation Framework Benchmark (HQSFB), a systematic evaluation of five leading quantum simulation frameworks -- Qiskit Aer, Cirq on GCP, cuQuantum (NVIDIA), QuEST, and Intel Quantum Simulator (IQS) -- across six HPC deployment configurations spanning single-GPU workstations to 512-GPU supercomputer partitions. HQSFB introduces the Framework Efficiency Score (FES) combining simulation throughput, GPU utilisation, inter-node communication overhead, and memory scaling efficiency. Key results: cuQuantum achieves the highest FES (0.924) with 94.2% GPU utilisation and 42x speedup over CPU baseline at 512 GPUs; QuEST achieves the best memory scaling efficiency (0.962) for distributed statevector simulation; Qiskit Aer provides the broadest circuit compatibility with FES = 0.842. The framework provides HPC configuration guidance and an open benchmark suite for quantum simulation infrastructure planning.
This article presents a comprehensive study of the performance of quantum circuit simulation using the Matrix Product State (MPS) method within Qiskit Aer. The primary focus is on comparing the computational efficiency of implementations on central processing unit (CPU) and graphics processing unit (GPU) across various simulation platforms. Four key quantum algorithms are experimentally examined: the Variational Quantum Eigensolver (VQE), the Quantum Fourier Transform (QFT), the Quantum Approximate Optimization Algorithm (QAOA), and the Greenberger– Horne–Zeilinger (GHZ) state. For each algorithm, graphs are constructed showing the dependence of execution time on the number of qubits and the type of simulator. A single diagram is also provided to compare all four algorithms using the MPS method in Qiskit Aer. The results indicate that although the MPS simulator in Qiskit Aer is currently implemented only for CPU, it outperforms the traditional statevector simulator for low-entanglement circuits. At the same time, the lack of GPU acceleration limits the scalability of the MPS simulator. Analysis shows that implementing hardware acceleration of SVD operations using NVIDIA's cuQuantum and cuTensorNet libraries can provide a speedup of up to seven times. A comparative analysis of GPU implementations in Qiskit Aer and CUDA-Q is also conducted, including libraries such as cuStateVec, LAPACK, and cuSOLVER. Graphs are created to demonstrate the strengths and weaknesses of the simulators and simulation methods in Qiskit Aer. Notably, the MPS method remains one of the fastest by computation speed on CPU, but is sometimes surpassed by other methods on GPU. Further optimization directions for MPS are proposed, including the development of a hybrid CPU/GPU architecture and the utilization of modern GPU libraries to accelerate critical operations. Keywords: quantum computing, quantum simulation, Qiskit Aer, MPS, statevector, cudaq.
Classical simulation supports the development and validation of quantum algorithms through full-state inspection, controlled noise models and backpropagation, albeit for small quantum systems. Existing frameworks offer gate-level execution, differentiable pulse-level dynamics or optimised hardware execution. Just another quantum simulator (JAQSI) combines gate- and pulse-level simulation in one differentiable circuit model built upon JAX. Circuits are represented as pure functions of numerical inputs which support vectorised batches and JIT compilation. Within a single circuit, matrix-defined operations, gates synthesised from Hamiltonian time evolution and noise channels can be composed freely. For a fast simulation, gate and channel fusion reduces passes over the state, while adjoint differentiation computes expectation-value gradients with a constant number of statevectors. At pulse level, JAQSI reduces evolution under single-term Hamiltonians to a scalar pulse-area integral and reuses cached execution plans and compiled solvers. In a benchmark we compare JAQSI with PennyLane, Qiskit, Qibo, Qulacs, QuTiP and dynamiqs. At gate level, we observe performance either on par or an order of magnitude faster across statevector, density, noise and gradient simulation than the compared simulators up to 12 qubits. Beyond 18 qubits, JAQSI is on par with PennyLane Lightning in both statevector and gradient simulation. In the statevector and noisy density-matrix pulse benchmarks, it is at least 5 times faster than the other simulators, even with its closed-form solve disabled. Disabling the latter increases its runtime by at most a factor of 1.5. We provide JAQSI as open-source software on GitHub and PyPI.
Simulating quantum circuits is essential for validating quantum algorithms. However, no single simulator consistently performs best - efficiency depends on circuit structure, entanglement, and depth. In this work, we integrate Qiskit-Aer (state-vector and matrix product state) and QTensor, a tree-tensor-network based simulator, into the Quantum Framework (QFw), a modular platform that supports multiple quantum backends via a unified interface. We also enable distributed quantum approximate optimization algorithm (DQAOA) application compatibility with QFw, allowing sub-problems to be solved in parallel at scale. We then benchmark DQAOA and TFIM (transverse field Ising model) circuits across supported simulators, showing how performance varies significantly with problem type. All simulations are deployed on the Frontier supercomputer using QFw's MPI-based orchestration for distributed, multinode execution. These results underscore the need for simulatoragnostic infrastructure to enable systematic evaluation and highperformance scaling of quantum workloads. QFw provides a practical and extensible path toward reproducible quantum algorithm development across diverse application domains.
This study presents a reproducible, framework-level comparison of three open-source quantum software environments: PennyLane 0.45.1, Qiskit 2.5.2, and Snowflurry 0.6.0. Equivalent parameterized circuits were constructed in Python for PennyLane and Qiskit and in Julia for Snowflurry. Every circuit consisted of repeated layers of single-qubit rotations followed by a ring of controlled-NOT gates, and every framework returned the complete ideal statevector. Circuit construction time, first-execution time, warmed execution time, whole-process wall time, output probability, and state normalization were recorded. All common numerical thread controls were fixed to one, so the experiment measures controlled single-thread behavior rather than the maximum throughput of the tested computers. On the laptop, Snowflurry produced the lowest warmed median at 10 qubits, Qiskit at 12 qubits, PennyLane and Qiskit were nearly tied at 14 qubits, and PennyLane was fastest at 18 qubits. On an Intel Xeon E5-2697 v3 workstation, PennyLane was fastest at both 14 and 16 qubits. Snowflurry constructed circuits rapidly but exhibited greater simulation time as the statevector increased. Identical probabilities and unit state norms across all implementations support functional equivalence. The results characterize these particular built-in statevector paths; they do not constitute a general comparison of Python and Julia, nor of optimized accelerators such as PennyLane Lightning or Qiskit Aer.