近日，美国波士顿大学Dries Sels团队研究了二维和三维张量网络的无序量子系统动力学。相关论文于2026年5月21日发表在《科学》杂志上。

近期，D-Wave公司的Advantage2系统在一系列晶格结构上实现了伊辛自旋玻璃的大规模量子退火动力学实验。经过与现有数值方法的广泛对比，这些实验被认为超越了经典计算的能力范围。

研究组采用针对特定晶格结构的张量网络方法，对这些自旋玻璃模型进行了模拟。通过利用置信传播算法来跟进时间演化过程中产生的纠缠，随后使用更先进的置信传播变体来提取期望值。结果表明，仅需适度的计算资源即可达到当前最佳的精度水平。此外，该方法在二维和三维空间均具有良好的可扩展性，研究组借此在涉及数百个量子比特的系统中验证了普适的基布尔-祖雷克物理行为。

附：英文原文

Title: Dynamics of disordered quantum systems with two- and three-dimensional tensor networks

Author: Joseph Tindall, Antonio Francesco Mello, Matthew Fishman, E. Miles Stoudenmire, Dries Sels

Issue&Volume: 2026-05-21

Abstract: Large-scale quantum annealing dynamics of Ising spin glasses were recently implemented on D-Wave’s Advantage2 system on a range of lattices. After extensive comparison with existing numerical methods, these experiments were claimed to be beyond the reach of classical computation. Here, we simulated these spin-glass models with lattice-specific tensor networks, using belief propagation (BP) to keep up with the entanglement generated during the time evolution and then extracting expectation values with more sophisticated variants of BP. We found that state-of-the-art accuracies could be achieved with modest computational resources. Moreover, our results are scalable in both two and three dimensions, which we leveraged to verify universal Kibble-Zurek physics on systems involving hundreds of qubits.

DOI: adx2728

Source: https://www.science.org/doi/10.1126/science.adx2728