在权力-法律交互系统中,最佳状态转移和纠生成
Minh C Tran1,2, Andrew Y Guo1,2, Abhinav Deshpande1,2
1Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.
概括
我们开发了一种最佳的量子协议,用于编码和传输大型系统中的量子信息,这些系统具有权力-规律相互作用. 这种方法提供了显著的加快速度,并优化了各种应用的量子信息处理.
科学领域:
- 量子信息科学 量子信息科学
- 量子计算是一种量子计算.
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 高效的量子信息传输对于量子技术至关重要.
- 大量的量子系统经常表现出复杂的相互作用,比如权力-定律相互作用.
- 对于具有远程交互的系统,现有的协议可能不是最佳的.
研究的目的:
- 在多量子比特系统中编码和传输量子信息的最佳协议.
- 分析协议对具有权力规律相互作用的系统的性能.
- 为了确定协议的最佳性和边界的紧密性.
主要方法:
- 将一个未知的量子位状态编码为一个多量子位格林伯格-霍恩-齐林格类似的状态.
- 在具有功率定律相互作用 (1/r^α) 的系统中分析量子信息传输.
- 将协议性能与最先进的方法和利布-罗宾森边界进行比较.
主要成果:
- 该协议实现了多项式和超多项式加速度,取决于权力定律指数 (α) 和系统维度 (d).
- 对于α > d,该协议和了利布-罗宾逊极限,证明了它的最佳性.
- 为动力法系统的数字模拟提供了门数的下限.
结论:
- 提出的协议是最佳的量子信息编码和传输在大型系统与权力-规律相互作用.
- 这些发现证实了利布 - 罗宾逊在这个制度中的界限的紧密性.
- 该协议在量子传感,计算和状态准备方面具有广泛的应用.
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