戈特斯曼-基塔耶夫-普雷斯基尔编码在单个光子的连续模态变量中
Éloi Descamps1, Arne Keller1,2, Pérola Milman1
1Laboratoire Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162, 75013 Paris, France.
Physical review letters
|May 10, 2024
概括
我们介绍了一种新的方法来用单个光子在传播场中编码Gottesman-Kitaev-Preskill (GKP) 状态. 这种方法可以对长距离传输的量子信息进行错误校正.
科学领域:
- 量子信息科学 量子信息科学
- 量子错误纠正方法 量子错误纠正方法
- 连续变量量子计算 连续变量量子计算
背景情况:
- 戈特斯曼-基塔耶夫-普雷斯基尔 (GKP) 状态是连续变量的逻辑量子比特,对于量子错误纠正至关重要.
- 在传播场中实验实现GKP状态是具有挑战性的,因为在电磁场方程中对编码要求具有挑战性.
- 旅行光子对于使用GKP代码进行长距离量子信息传输至关重要.
研究的目的:
- 引入一种使用单个光子在传播场中编码GKP状态的新方法.
- 为了分析错误检测和纠正协议的可扩展性与光子数和光谱宽度.
- 为了证明时间-频率相位空间位移和光子损失的纠正.
主要方法:
- 在传播场中编码GKP状态,通过将每个单一光子分配到由传播方向定义的独特辅助模式.
- 将GKP状态定义为集体连续模式 (时间和频率) 的高度相关的状态.
- 分析错误检测和纠正的缩放与总光子数和光谱宽度.
主要成果:
- 拟议的方法允许使用单个光子在传播场中编码GKP状态.
- 开发的代码对时间频率相位空间中的位移进行校正,相当于脱相/旋转和光子损失.
- 产生双光子GKP状态被证明是相对简单的,并且可以通过当前的光子平台实现.
结论:
- 已成功引入了一种编码传播场中的GKP状态的实用方法.
- 该方法为长距离量子信息传输提供了可行的途径,并具有纠错功能.
- 生成双光子GKP状态的简单性有助于在现有的光子量子技术中实现它们.
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