Scaling whole-chip QAOA for higher-order ising spin glass models on heavy-hex graphs

IF 6.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED npj Quantum Information Pub Date : 2024-11-06 DOI:10.1038/s41534-024-00906-w
Elijah Pelofske, Andreas Bärtschi, Lukasz Cincio, John Golden, Stephan Eidenbenz
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Abstract

We show that the quantum approximate optimization algorithm (QAOA) for higher-order, random coefficient, heavy-hex compatible spin glass Ising models has strong parameter concentration across problem sizes from 16 up to 127 qubits for p = 1 up to p = 5, which allows for computationally efficient parameter transfer of QAOA angles. Matrix product state (MPS) simulation is used to compute noise-free QAOA performance. Hardware-compatible short-depth QAOA circuits are executed on ensembles of 100 higher-order Ising models on noisy IBM quantum superconducting processors with 16, 27, and 127 qubits using QAOA angles learned from a single 16-qubit instance using the JuliQAOA tool. We show that the best quantum processors find lower energy solutions up to p = 2 or p = 3, and find mean energies that are about a factor of two off from the noise-free distribution. We show that p = 1 QAOA energy landscapes remain very similar as the problem size increases using NISQ hardware gridsearches with up to a 414 qubit processor.

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在重六边形图上扩展高阶等阶自旋玻璃模型的全芯片 QAOA
我们的研究表明,针对高阶、随机系数、重六相容自旋玻璃伊辛模型的量子近似优化算法(QAOA)在 p = 1 到 p = 5 的 16 到 127 量子比特的问题规模中具有很强的参数集中性,这使得 QAOA 角度的参数转移具有计算效率。矩阵乘积状态 (MPS) 仿真用于计算无噪声 QAOA 性能。在具有 16、27 和 127 量子位的嘈杂 IBM 量子超导处理器上,利用 JuliQAOA 工具从单个 16 量子位实例中学习的 QAOA 角度,在 100 个高阶伊辛模型的集合上执行了硬件兼容的短深度 QAOA 电路。我们发现,最好的量子处理器能找到 p = 2 或 p = 3 的较低能量解决方案,并且找到的平均能量与无噪声分布相差约 2 倍。我们使用最多 414 量子比特处理器的 NISQ 硬件网格搜索结果表明,随着问题规模的增大,p = 1 QAOA 的能量分布仍然非常相似。
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来源期刊
npj Quantum Information
npj Quantum Information Computer Science-Computer Science (miscellaneous)
CiteScore
13.70
自引率
3.90%
发文量
130
审稿时长
29 weeks
期刊介绍: The scope of npj Quantum Information spans across all relevant disciplines, fields, approaches and levels and so considers outstanding work ranging from fundamental research to applications and technologies.
期刊最新文献
Scaling whole-chip QAOA for higher-order ising spin glass models on heavy-hex graphs Classification of dynamical Lie algebras of 2-local spin systems on linear, circular and fully connected topologies Time-optimal control of a solid-state spin amidst dynamical quantum wind Qubit teleportation between a memory-compatible photonic time-bin qubit and a solid-state quantum network node An architecture for two-qubit encoding in neutral ytterbium-171 atoms
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