在数字化adiabatic量子计算过程中形成格林伯格-霍恩-齐林格 (GHZ) 状态的,忠诚度和纠
Nathan D Jansen1, Katharine L C Hunt1
1Department of Chemistry, Michigan State University, East Lansing, MI 48824, USA.
Entropy (Basel, Switzerland)
|September 27, 2025
概括
数字化adiabatic量子计算被评估为创建纠的三量子比特格林伯格-霍恩-齐林格 (GHZ) 状态. 量子计算机的准确性低于模拟,在亚亚巴特过程中错误越来越大.
科学领域:
- 量子信息科学 量子信息科学
- 量子计算算法 量子计算算法
- 量子状态准备 量子状态准备
背景情况:
- 阿迪亚巴特量子计算 (AQC) 是一种解决复杂问题的方法.
- 创建纠的量子状态,如Greenberger-Horne-Zeilinger (GHZ) 状态,对于量子信息处理至关重要.
- 增值过程的数字化引入了可以影响状态忠实性的近似值.
研究的目的:
- 为了评估数字化adiabatic量子计算在生成三量子比特GHZ状态中的准确性.
- 将量子计算机和量子模拟器的性能与理论计算进行比较.
- 分析离散化步骤对亚亚巴特进化的忠实性的影响.
主要方法:
- 在两台IBM量子计算机和四台量子模拟器上实现数字化adiabatic量子计算.
- 与使用Python代码 (3.12版本) 的直接计算进行比较.
- 使用·诺伊曼和GHZ证人运算符对状态忠实性的分析.
主要成果:
- 量子计算机表现出随着离散步骤的增加·诺伊曼,表明与理论计算相比精度降低.
- 量子模拟器显示了部分GHZ组件,而量子计算机获得了部分GHZ特征.
- 在所有平台的亚亚巴特进化过程中,在单个量子比特中观察到纠.
结论:
- 用于GHZ状态准备的数字化adiabatic量子计算在当前的量子硬件上不如理论预测所建议的那么准确.
- 在亚亚巴特进化中的离散化过程导致量子计算机的忠实性损失.
- 需要进一步的研究来提高数字化adiabatic协议的准确性,以产生复杂的纠状态.
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