The AdS/CFT correspondence stipulates a duality between conformal field theories and certain theories of quantum gravity in one higher spatial dimension. However, probing this conjecture on contemporary classical or quantum computers is challenging. We formulate an efficiently implementable multiscale entanglement renormalization ansatz model of AdS/CFT, providing a mapping between a (1+1)-dimensional critical spin system and a (2+1)-dimensional bulk theory. Using a combination of numerics and analytics, we show that the bulk theory arising from this optimized tensor network furnishes excitations with attractive interactions. Remarkably, these excitations have one- and two-particle energies matching the predictions for matter coupled to AdS gravity at long distances, thus displaying key features of AdS physics. We show that these potentials arise as a direct consequence of entanglement renormalization and discuss how this approach can be used to efficiently simulate bulk dynamics using realistic quantum devices. Published by the American Physical Society 2025

中文翻译：

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来自 Tensor 网络的紧急全息力和临界度

AdS/CFT 对应关系规定了共形场论和某些量子引力理论在一个更高空间维度上的对偶性。然而，在当代经典计算机或量子计算机上探索这一猜想是具有挑战性的。我们制定了一个可有效实现的 AdS/CFT 多尺度纠缠重整化拟设模型，提供了 （1+1） 维临界自旋系统和 （2+1） 维体理论之间的映射。通过结合数值和分析，我们表明，由这个优化的张量网络产生的体理论为激发提供了有吸引力的交互。值得注意的是，这些激发具有单粒子和双粒子能量，与远距离耦合到 AdS 引力的物质预测相匹配，从而展示了 AdS 物理学的关键特征。我们表明这些电位是纠缠重整化的直接结果，并讨论了如何使用这种方法来使用真实的量子器件有效地模拟体动力学。 美国物理学会 2025 年出版