双极平面旋转器的网格的量子位编码
Muhammad Shaeer Moeed1,2,3, James Brown4, Alexander Ibrahim5
1Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
The Journal of chemical physics
|November 3, 2025
概括
本研究探讨了两种量子比特编码方法,用于模拟近期量子计算机上的平面转子格子. 双元和单元映射都经过验证,评估它们对量子相位估计和变化模拟的资源需求.
科学领域:
- 量子物理学 量子物理学 是一种量子物理学.
- 计算物理 计算物理
背景情况:
- 近期的量子设备为探索复杂的多体物理提供了新的途径.
- 高效的量子比特编码方案对于模拟量子哈密尔顿的过程至关重要.
研究的目的:
- 调查和验证两个不同的量子位编码方案,用于平面旋转器格子的哈密尔顿.
- 评估这些编码在近期量子模拟中的可行性.
主要方法:
- 旋翼哈密尔顿投影机的分解成二元旋转-1/2投影机.
- 嵌入旋转器的希尔伯特空间,并使用 bosonic 系统的 unary 映射.
- 稀疏的对角化用于验证小链上的编码准确性.
主要成果:
- 对于平面转子格子的二进制和单元量子位编码方法都得到了成功验证.
- 在小型格子上对量子相估计的资源需求进行了分析.
- 研究了用于模拟这些系统的变量算法的实用性.
结论:
- 经过验证的量子比特编码为模拟当前量子硬件上的平面转子格子提供了一条途径.
- 资源估计有助于规划未来的量子模拟.
- 变量方法显示出对这些系统的近期模拟有前途.
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