通过克利福德扰动理论模拟量子电路预期值
Tomislav Begušić1, Kasra Hejazi1, Garnet Kin-Lic Chan1
1Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA.
The Journal of chemical physics
|April 15, 2025
概括
我们开发了一种新的扰动方法,以高效地模拟近克利福德量子电路. 这种方法接近复杂量子计算的预期值,为精确模拟方法提供了可行的替代方案.
科学领域:
- 量子计算是一种量子计算.
- 计算物理学的计算物理.
背景情况:
- 量子电路的经典模拟对于对近期量子设备进行基准测试至关重要.
- 对于克利福德门,存在有效的模拟方法,但非克利福德门构成了挑战.
- 现有的方法随着非克利福德门的数量而呈指数级扩展.
研究的目的:
- 引入一种启发式扰动方法来模拟使用克利福德和非克利福德保利旋转门的量子电路.
- 为了解决近克利福德量子电路中的预期值问题.
- 为近似预期值提供一个系统可改进的方法.
主要方法:
- 一种基于切断海森伯格图中波利项指数增长的和的启发式扰动方法.
- 对于具有克利福德和非克利福德保利旋转的电路的预期值问题的应用.
- 在E3LIN2问题上的量子近似优化算法 (QAOA) 基准上的数值验证.
主要成果:
- 扰动方法有效地接近近克利福德电路的预期值.
- 在克利福德电路中证明了连贯和不连贯错误的量化.
- 数字结果显示QAOA基准的可行性.
结论:
- 建议的扰动方法是对大型近克利福德电路的精确模拟的可行替代方案.
- 这种方法提供了系统的可改进性.
- 该方法有助于理解和量化量子计算中的错误.
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