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arXiv:2506.15116 · Scientific Reports

Optimal compilation strategies for QFT circuits in neutral-atom quantum computing

Dingchao Gao, Yongming Li, Shenggang Ying, Sanjiang Li

Published Dec 25, 2025• 1 citation
arXivHTMLPDF

Abstract

Neutral-atom quantum computing (NAQC) offers distinct advantages such as dynamic qubit reconfigurability, long coherence times, and high gate fidelities, making it a promising platform for scalable quantum computing. Among existing implementations, the Dynamically Field-Programmable Qubit Array (DPQA) architecture has emerged as the most prominent NAQC platform, enabling large-scale, high-fidelity operations through dynamic atom rearrangement and global Rydberg excitation. Despite these strengths, efficiently implementing quantum circuits like the Quantum Fourier Transform (QFT) remains a significant challenge due to atom-movement overheads and connectivity constraints. This paper introduces optimal compilation strategies tailored to QFT circuits on the DPQA architecture, addressing these challenges for both linear and grid-like configurations. By minimizing atom movements, the proposed methods achieve theoretical lower bounds in movement counts while preserving high circuit fidelity. Comparative evaluations against state-of-the-art DPQA compilers demonstrate the superior performance of the proposed methods, which could serve as benchmarks for evaluating the performance of future DPQA compilers.

DOI
10.1038/s41598-025-32572-z

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Neutral-atom quantum computing (NAQC) offers distinct advantages such as dynamic qubit reconfigurability, long coherence times, and high gate fidelities, making it a promising platform for scalable quantum computing. Among existing implementations, the Dynamically Field-Programmable Qubit Array (DPQA) architecture has emerged as the most prominent NAQC platform, enabling large-scale, high-fidelity operations through dynamic atom rearrangement and global Rydberg excitation. Despite these strengths, efficiently implementing quantum circuits like the Quantum Fourier Transform (QFT) remains a significant challenge due to atom-movement overheads and connectivity constraints. This paper introduces optimal compilation strategies tailored to QFT circuits on the DPQA architecture, addressing these challenges for both linear and grid-like configurations. By minimizing atom movements, the proposed methods achieve theoretical lower bounds in movement counts while preserving high circuit fidelity. Comparative evaluations against state-of-the-art DPQA compilers demonstrate the superior performance of the proposed methods, which could serve as benchmarks for evaluating the performance of future DPQA compilers.
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Neutral atom quantum computers (NAQC) are emerging as a promising, scalable quantum computing platform because of their long qubit coherence, flexible qubit arrangement, and multiqubit gate capabilities. However, circuit execution often requires physically moving qubits, making compilation a critical optimization challenge. We propose a circuit independent mathematical framework built on graph-theoretic combinatorial optimization that determines the minimal number of required qubit transfers. This model captures spatial constraints specific to NAQC platforms with zone-limited gate operations and multi-qubit gates. From this framework, we encode the qubit mapping problem as a nonlinear integer program and solve it using a genetic algorithm, enabling trade-offs between minimizing the total traveled distance and the number of parallel transfer operations. Compared to the state-of-the-art scalable compiler for zoned architectures, our approach consistently finds fewer transfers. Depending on the optimization focus, our method produces shorter traveled distances or fewer parallel transfer operations. This work provides both theoretical guaranties and a practical tool for efficient, architecture-aware quantum circuit compilation. As a result, practitioners can generate hardware-aware mappings that reduce movement-induced errors and better exploit atom transfer parallelism, directly improving execution efficiency on NAQC devices.
Dynamically field-programmable qubit arrays based on neutral atoms feature high fidelity and highly parallel gates for quantum computing. However, it is challenging for compilers to fully leverage the novel flexibility offered by such hardware while respecting its various constraints. In this study, we break down the compilation for this architecture into three tasks: scheduling, placement, and routing. We formulate these three problems and present efficient solutions to them. Notably, our scheduling based on graph edge-coloring is provably near-optimal in terms of the number of two-qubit gate stages (at most one more than the optimum). As a result, our compiler, Enola, reduces this number of stages by 3.7x and improves the fidelity by 5.9x compared to OLSQ-DPQA, the current state of the art. Additionally, Enola is highly scalable, e.g., within 30 minutes, it can compile circuits with 10,000 qubits, a scale sufficient for the current era of quantum computing. Enola is open source at https://github.com/UCLA-VAST/Enola
Algorithm and hardware-aware compilation co-design is essential for the efficient deployment of near-term quantum programs. We present a compilation case-study implementing QCrank - an efficient encoding protocol for storing sequenced real-valued classical data in a quantum state targeting neutral atom-based Dynamically Programmable Qubit Arrays (DPQAs). We show how key features of neutral-atom arrays such as high qubits count, operation parallelism, multizone architecture, and natively reconfigurable connectivity can be used to inform effective algorithm deployment. We identify algorithmic and circuit features that signal opportunities to implement them in a hardware-efficient manner. To evaluate projected hardware performance, we define a realistic noise model for DPQAs using parameterized Pauli channels, implement it in Qiskit circuit simulators, and assess QCrank's accuracy for writing and reading back24−32024-32024−320real numbers into6−206-206−20qubits. We compare DPQA results with simulated performances of Quantinuum's H1-1E and with experimental results from IBM Fez, highlighting promising accuracy scaling for DPQAs.
Neutral atom quantum computers (NAQCs) are emerging as a highly promising platform for scalable quantum computing, thanks to their long qubit coherence times, flexible qubit layouts, and ability to implement multi-qubit gates [1]. Despite these advantages,executing circuits often requires moving qubits physically, which makes compilation a crucial and challenging optimization task. To address this, we developed a circuit-independent compiler framework based on graph theory that determines the minimum number of qubit transfers needed, including those involved in multi-qubit gates. This model captures the spatial restrictions inherent to NAQC platforms with zone-limited gate operations. Using this framework, we formulated the qubit mapping problem as a nonlinear integer program and solved it with a genetic algorithm, enabling control over trade-offs between the total distance qubits travel and the number of parallel transfer operations (PTOs). When benchmarked against the leading ZAC compiler [2], our approach consistently reduces the number of qubit transfers. Depending on the optimization goal, it can either shorten the overall travel distance or minimize PTOs. The work presented in this poster thus provides a tool for efficient, architecture-aware quantum circuit compilation. [1] Ludwig Schmid et al, “Computational capabilities and compiler development for neutral atom quantum processors—connecting tool developers and hardware experts”, Quantum Sci. Technol. 9 033001, doi: 10.1088/2058-9565/ad33ac (2024) [2] W. Lin, D. B. Tan and J. Cong, “Reuse-Aware Compilation for Zoned Quantum Architectures Based on Neutral Atoms”, IEEE International Symposium on High Performance Computer Architecture (HPCA), Las Vegas, NV, USA, 2025, pp. 127-142, doi: 10.1109/HPCA61900.2025.00021 (2025
The neutral atom array has gained prominence in quantum computing for its scalability and operation fidelity. Previous works focus on fixed atom arrays (FAAs) that require extensive SWAP operations for long-range interactions. This work explores a novel architecture reconfigurable atom arrays (RAAs), also known as field programmable qubit arrays (FPQAs), which allows for coherent atom movements during circuit execution under some constraints. Such atom movements, which are unique to this architecture, could reduce the cost of longrange interactions significantly if the atom movements could be scheduled strategically. In this work, we introduce Atomique, a compilation framework designed for qubit mapping, atom movement, and gate scheduling for RAA. Atomique contains a qubit-array mapper to decide the coarse-grained mapping of the qubits to arrays, leveraging MAX k-Cut on a constructed gate frequency graph to minimize SWAP overhead. Subsequently, a qubit-atom mapper determines the fine-grained mapping of qubits to specific atoms in the array and considers load balance to prevent hardware constraint violations. We further propose a router that identifies parallel gates, schedules them simultaneously, and reduces depth. We evaluate Atomique across 20+ diverse benchmarks, including generic circuits (arbitrary, QASMBench, SupermarQ), quantum simulation, and QAOA circuits. Atomique consistently outperforms IBM Superconducting, FAA with long-range gates, and FAA with rectangular and triangular topologies, achieving significant reductions in depth and the number of two-qubit gates.