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arXiv:2405.06183

Arctic: A Field Programmable Quantum Array Scheduling Technique

Ethan Decker

Published May 10, 2024• 1 citation
arXivHTMLPDF

Abstract

Advancements in neutral atom quantum computers have positioned them as a valuable framework for quantum computing, largely due to their prolonged coherence times and capacity for high-fidelity gate operations. Recently, neutral atom computers have enabled coherent atom shuttling to facilitate long-range connectivity as a high-fidelity alternative to traditional gate-based methods. However, these inherent advantages are accompanied by novel constraints, making it challenging to create optimal movement schedules. In this study I present, to the best of my knowledge, the first compiler pass designed to optimize reconfigurable coupling in zoned neutral atom architectures, while adhering to the reconfigurability constraints of these systems. I approach qubit mapping and movement scheduling as a max-cut and layered cross-minimization problem while enhancing support for spatially complex algorithms through a novel "stacking" feature that balances the qubit array's spatial dimensions with algorithmic parallelism. I compare the method across various algorithms sourced from Supermarq and Qasmbench where the compiler pass represents the first exclusively movement-based technique to achieve compilation times consistently within seconds. Results also demonstrate that the approach reduces pulse counts by up to 5x and increases fidelity by up to 7x compared to existing methods on currently available technology.

DOI
10.48550/arxiv.2405.06183

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Advancements in neutral atom quantum computers have positioned them as a valuable framework for quantum computing, largely due to their prolonged coherence times and capacity for high-fidelity gate operations. Recently, neutral atom computers have enabled coherent atom shuttling to facilitate long-range connectivity as a high-fidelity alternative to traditional gate-based methods. However, these inherent advantages are accompanied by novel constraints, making it challenging to create optimal movement schedules. In this study I present, to the best of my knowledge, the first compiler pass designed to optimize reconfigurable coupling in zoned neutral atom architectures, while adhering to the reconfigurability constraints of these systems. I approach qubit mapping and movement scheduling as a max-cut and layered cross-minimization problem while enhancing support for spatially complex algorithms through a novel "stacking" feature that balances the qubit array's spatial dimensions with algorithmic parallelism. I compare the method across various algorithms sourced from Supermarq and Qasmbench where the compiler pass represents the first exclusively movement-based technique to achieve compilation times consistently within seconds. Results also demonstrate that the approach reduces pulse counts by up to 5x and increases fidelity by up to 7x compared to existing methods on currently available technology.
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.
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
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.
Among different quantum computing technologies, neutral atom quantum computers have several advantageous features, such as multi-qubit gates, application-specific topologies, movable qubits, homogenous qubits, and long-range interactions. However, existing compilation techniques for neutral atoms fall short of leveraging these advantages in a practical and scalable manner. This paper introduces PARALLAX, a zero-SWAP, scalable, and parallelizable compilation and atom movement scheduling method tailored for neutral atom systems, which reduces high-error operations by 25%25 \%25% and increases the success rate by 28%\mathbf{2 8 \%}28% on average compared to the state-of-the-art technique.
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.
Neutral atom quantum computers (NAQCs) have emerged as promising candidates for scalable quantum computing, thanks to their advanced hardware capabilities, particularly qubit movement and the Zoned Architecture (ZA). However, fully harnessing these features presents significant compilation challenges, requiring careful coordination across gate scheduling, qubit positioning, atom movement, and inter-zone communication. In this paper, we propose PowerMove, an efficient compiler for NAQCs that unlocks new optimization opportunities, significantly improving qubit movement strategies while seamlessly integrating ZA. Our evaluation demonstrates orders-of-magnitude fidelity improvements over state-of-the-art methods, with execution time reduced by up to 3.76× and compilation time accelerated by up to 216.9× across various NISQ applications. Furthermore, PowerMove extends naturally to the fault-tolerant quantum computing (FTQC) setting, where physical qubits are replaced by logical qubits encoded in QEC codes, achieving a 4.78× reduction in execution time. These results highlight PowerMove's impact on both near-term NISQ applications and long-term FTQC implementations. We have open-sourced our codes at https://github.com/Scarlett0815/PowerMove to facilitate further research and collaboration within the community.