部分单元化的学习.
Mikhail Gennadievich Belov1, Vladislav Gennadievich Malyshkin2
1Faculty of Mechanics and Mathematics, <a href="https://ror.org/010pmpe69">Lomonosov Moscow State University</a>, GSP-1, Moscow, Vorob'evy Gory 119991, Russia.
这项研究开发了一种代算法,以找到最佳的量子通道 (U) 来映射希尔伯特空间之间的波函数. 该方法在概率保存下最大限度地提高了总忠实性,使新的量子信息处理应用程序成为可能.
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.
- 数学物理 数学物理
背景情况:
- 在希尔伯特空间之间映射量子状态对于量子信息处理至关重要.
- 现有的方法往往缺乏一种系统的方法来优化这种映射,特别是在现实的约束下.
研究的目的:
- 为了制定和解决输入 (IN) 和输出 (OUT) 希尔伯特空间之间的最佳波函数映射的问题.
- 开发一种用于构建最佳量子通道 (U) 的计算方法.
主要方法:
- 公式作为一个优化问题,最大限度地提高总忠实度,但受部分单元性约束.
- 开发一种代算法,以找到忠实函数的全局最大值.
- 应用算法以证明其在各种量子场景中的实用性.
主要成果:
- 一个运算符U,代表一个部分单元量子通道 (同度),是为最佳的IN-to-OUT希尔伯特空间映射而构建的.
- 一个高效的代算法保证找到全球最大忠实度.
- 在各种量子信息任务中证明了适用性.
结论:
- 开发的代算法为最佳量子通道构造提供了强大的方法.
- 这项工作为推进量子状态操纵和量子信息处理提供了实用工具.
- 一个软件实现是可用的,促进更广泛的研究和应用.
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