AI 中文总结
研究利用囚禁离子实现全息五边形码和七边形码，通过恢复逻辑体量子比特、测试纠缠面积律及证明横向哈达玛门诱导单比特可校正错误等，为全息量子码用于量子信息处理奠定基础。
AI 中文摘要
全息术是引力、凝聚态物质理论和量子信息交叉领域的核心概念，将系统内部与边界联系起来。Pastawski等人提出的全息五边形码是实现全息系统关键特性的模型。本文通过囚禁离子实验实现了全息五边形码和七边形码的实例并测试其特性。对于五边形码，从附近边界恢复逻辑体量子比特并测试Ryu-Takayanagi纠缠面积律；对于七边形码，证明组成的Steane码的横向哈达玛门在全息码中诱导出单比特可校正错误。该实现为全息量子码用于量子信息处理铺平了道路。
英文摘要
Holography is a central concept at the intersection of gravity, condensed matter theory, and quantum information, linking the interior bulk of a system to its boundary. A model realizing key features of holographic systems is the holographic pentagon code by Pastawski et al. Here we experimentally implement instances of the holographic pentagon and heptagon codes with trapped ions and test their properties: For the pentagon code, we recover logical bulk qubits from their nearby boundary and test the Ryu-Takayanagi entanglement area law. For the heptagon code, we show that the transversal Hadamard gate native to the constituent Steane codes induces a single-qubit, correctable error in the holographic code. Our implementation paves the way towards the use of holographic quantum codes for quantum information processing.
Comments11+10 pages, 12 figures
