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关于NISQQ的复杂性
Sitan Chen1,2, Jordan Cotler3, Hsin-Yuan Huang4,5
1Department of Electrical Engineering and Computer Science, University of California, Berkeley, Berkeley, CA, USA. sitan@seas.harvard.edu.
Nature communications
|September 26, 2023
概括
我们介绍了NISQ (杂的中等量级量子) 复杂度类,用于用杂的量子电路解决的问题. 我们的研究结果表明,NISQ与传统的搜索方法相比具有有限的优势,但在诸如伯恩斯坦-瓦兹拉尼问题之类的特定任务中表现出色.
科学领域:
- 量子计算是一种量子计算.
- 计算复杂性理论 计算复杂性理论
背景情况:
- 噪音中等尺度量子 (NISQ) 设备的兴起需要了解它们的计算能力.
- 经典计算和容错量子计算代表了已建立的计算范式.
研究的目的:
- 定义和分析NISQ复杂性类.
- 将NISQ设备的计算能力与经典和容错量子计算机进行比较.
- 调查NISQ在特定计算问题的性能.
主要方法:
- 定义NISQ复杂度类的定义.
- 使用修改的西蒙问题建立超多项式复杂性分离.
- 对非结构化搜索,伯恩斯坦-瓦齐拉尼问题和量子状态学习的NISQ性能进行分析.
主要成果:
- 在古典,NISQ和容错量子计算之间证明了超多项式的分离.
- 对于非结构化搜索,NISQ设备没有提供格罗弗式的二次加速度.
- 对于伯恩斯坦-瓦齐拉尼问题,NISQ提供了一个显著的优势,它需要对数查询.
- 对于量子状态学习,NISQ比无噪声量子电路呈指数级弱.
结论:
- NISQ复杂度类为了解近期量子设备提供了一个框架.
- NISQ的功能取决于问题,在搜索方面存在局限性,但在其他领域也有潜力.
- 在古典,NISQ和容错量子计算模型中,计算能力存在显著差异.
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