海林格距离
量子计算机
公制(单位)
噪音(视频)
计算
量子
理论(学习稳定性)
计算机科学
有界函数
统计物理学
量子算法
算法
数学
应用数学
物理
量子力学
人工智能
工程类
机器学习
数学分析
运营管理
图像(数学)
作者
Samudra Dasgupta,Travis S. Humble
出处
期刊:Cornell University - arXiv
日期:2023-07-10
标识
DOI:10.48550/arxiv.2307.05381
摘要
Stable quantum computation requires noisy results to remain bounded even in the presence of noise fluctuations. Yet non-stationary noise processes lead to drift in the varying characteristics of a quantum device that can greatly influence the circuit outcomes. Here we address how temporal and spatial variations in noise relate device reliability to quantum computing stability. First, our approach quantifies the differences in statistical distributions of characterization metrics collected at different times and locations using Hellinger distance. We then validate an analytical bound that relates this distance directly to the stability of a computed expectation value. Our demonstration uses numerical simulations with models informed by the transmon device from IBM called washington. We find that the stability metric is consistently bounded from above by the corresponding Hellinger distance, which can be cast as a specified tolerance level. These results underscore the significance of reliable quantum computing devices and the impact for stable quantum computation.
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