非保利误差可以在Qudit表面代码中有效采样
Yue Ma1, Michael Hanks1, M S Kim1
1QOLS, Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom.
Physical review letters
|December 1, 2023
概括
表面代码提供了有前途的容错量子计算. 这项研究表明,即使有非保利误差,量子误差综合征也可以有效地用于量子表面代码,简化解码.
科学领域:
- 量子信息科学 量子信息科学
- 量子错误纠正方法 量子错误纠正方法
- 凝聚物质理论 凝聚物质理论
背景情况:
- 表面代码是容错量子计算的领先候选人.
- 当前的模型经常将错误简化为保利运算符,可能会忽视复杂的错误动态.
- 基于量子的量子系统比量子比特系统具有优势,但引入了更复杂的错误模型.
研究的目的:
- 在2D表面代码中测量综合征测量后剩余的相关性,用于qudit系统.
- 分析非保利误差对综合征抽样效率的影响.
- 为了评估表面代码对更广泛的量子错误的稳定性.
主要方法:
- 使用透理论来模拟网格上的错误传播.
- 分析格子上的循环结构,以识别和量化相关性.
- 在非保利误差条件下模拟综合征测量过程.
主要成果:
- 综合征测量后剩余的相关性是稀疏的,并且局部限制在错误纠正值以下.
- 综合征抽样的效率在很大程度上独立于非保利误差的具体形式.
- 透理论有效地捕捉了对应关系的行为在量子表面代码中.
结论:
- 库迪特表面代码证明了对非保利错误的弹性.
- 在qudit表面代码中测量综合征是有效的样本,即使有复杂的错误.
- 这些发现支持量子表面代码的可行性,用于实际的容错量子计算.
相关概念视频
Sampling Theorem
347
In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
347
Detection of Gross Error: The Q Test
6.1K
When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...
6.1K
Random Sampling Method
11.2K
Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest. Among the various sampling methods used by...
11.2K
Propagation of Uncertainty from Random Error
699
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
699
Sampling Distribution
12.8K
Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each sample, the probability distribution of all the measured characteristics is called a sampling distribution. How much the statistic varies from one sample to another is known as the sampling variability of a statistic. You typically measure the sampling variability of a statistic by its standard error. The standard error of the mean is an example...
12.8K
Sampling Methods: Sample Types
230
Sampling materials are classified into three main types: solid, liquid, and gas.
Solid samples include a variety of substances, such as sediments from water bodies, soil, metals, and biological tissues. Two standard methods for extracting sediments from water bodies are grab sampling and piston coring. Grab sampling involves using a device to collect a discrete sediment sample from the bottom of a water body with minimal disturbance. Grab samples do not always represent the entire area due to...
Solid samples include a variety of substances, such as sediments from water bodies, soil, metals, and biological tissues. Two standard methods for extracting sediments from water bodies are grab sampling and piston coring. Grab sampling involves using a device to collect a discrete sediment sample from the bottom of a water body with minimal disturbance. Grab samples do not always represent the entire area due to...
230


