在量子计算机上全息编码中类引力特征的观测
Observation of gravity-like signatures in holographic codes on a quantum computer
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中文总结 AI 辅助
研究量子力学与广义相对论统一问题，借助 AdS/CFT 对应，在囚禁离子量子计算机上实现 HaPPY 码玩具模型，验证公式、扩充模型并观测相关现象，测量特殊编码构造，展示量子计算机可模拟时空涌现。
中文摘要 AI 辅助
量子力学与广义相对论的统一仍是理论物理学的主要开放性问题之一。反德西特/共形场论（AdS/CFT）对应通过渐近 AdS 时空的量子引力理论与低维边界上的共形量子场论之间的全息对偶性，为此提供了有价值的理论框架。本文在囚禁离子量子计算机上实现了这种对偶性的一个玩具模型——具有双曲纠缠模式的张量网络形式的量子纠错码 HaPPY 码。给出了该模型中福克纳 - 莱夫科维茨 - 马尔达西那公式的首个实验验证，这是全息对应的关键测试。然后用非稳定性或魔力对其进行扩充，观测到了涌现引力预期的熵前驱。最后给出并测量了一种编码构造，其熵行为让人联想到高度量子化的虫洞。实验说明了量子计算机如何能作为模拟时空涌现的试验台。
英文摘要
The unification of quantum mechanics and general relativity remains one of the major open problems of theoretical physics. The Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence provides a valuable theoretical framework for this effort via a holographic duality between a theory of quantum gravity in asymptotically AdS spacetime and a conformal quantum field theory on the lower-dimensional boundary. Here, we implement a toy model of this duality called the HaPPY code, a quantum error-correcting code in the form of a tensor network with hyperbolic entanglement patterns, on a trapped-ion quantum computer. We present the first experimental confirmation of the Faulkner-Lewkowycz-Maldacena formula in this model - a key test of the holographic correspondence. We then enrich it with non-stabilizerness, or magic, and observe entropic precursors expected of emergent gravity. Finally, we present and measure a code construction whose entropic behavior is reminiscent of a highly quantum wormhole. Our experiments illustrate how quantum computers can serve as testbeds for modeling the emergence of spacetime.
