The discovery of holographic codes established a surprising connection between quantum error correction and the anti-de Sitter-conformal field theory correspondence. Recent technological progress in artificial quantum systems renders the experimental realization of such holographic codes now within reach. Formulating the hyperbolic pentagon code in terms of a stabilizer graph code, we give gate sequences that are tailored to systems with long-range interactions. We show how to obtain encoding and decoding circuits for the hyperbolic pentagon code, before focusing on a small instance of the holographic code on twelve qubits. Our approach allows to verify holographic properties by partial decoding operations, recovering bulk degrees of freedom from their nearby boundary.

全息码的发现在量子纠错和反德西特共形场论对应之间建立了令人惊讶的联系。人工量子系统的最新技术进步使得这种全息代码的实验实现现在变得触手可及。根据稳定器图代码制定双曲五边形代码，我们给出了适合具有远程交互的系统的门序列。我们展示了如何获得双曲五边形代码的编码和解码电路，然后重点关注 12 个量子位上的全息代码的小实例。我们的方法允许通过部分解码操作来验证全息特性，从附近的边界恢复大量自由度。