论文标题
具有稳定器图形代码的工程全息图
Engineering holography with stabilizer graph codes
论文作者
论文摘要
全息代码的发现建立了量子误差校正与反DE保姆 - 符合符号域理论对应之间的令人惊讶的联系。人工量子系统中的最新技术进步使此类全息代码的实验实现现在可以实现。根据稳定器图代码制定双曲线五角大楼代码，我们给出了针对具有远距离相互作用的系统量身定制的门序列。我们展示了如何在重点介绍十二个Qubits全息代码的少量实例之前，以获取双曲线五角形代码的编码和解码电路。我们的方法可以通过部分解码操作来验证全息特性，从而恢复从附近边界的自由度。
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.
