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Related Concept Videos

Random Sampling Method01:09

Random Sampling Method

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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...
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Sampling Distribution01:12

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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...
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Random Variables01:09

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A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
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Sampling Methods: Overview01:06

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A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling. 
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Sampling Theorem01:15

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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.
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Appropriate sampling methods ensure 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.
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Related Experiment Video

Updated: Nov 5, 2025

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Quantum random number generator with discarding-boundary-bin measurement and multi-interval sampling.

Zhenguo Lu, Jianqiang Liu, Xuyang Wang

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    Quantum random number generators (QRNGs) produce true random numbers from quantum vacuum fluctuations. New methods enhance randomness extraction, improving security against classical noise.

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    Area of Science:

    • Quantum physics
    • Information security

    Background:

    • Quantum random number generators (QRNGs) leverage quantum vacuum fluctuations for true randomness.
    • Classical noise contaminates QRNG output, compromising security.
    • Min-entropy quantifies randomness independent of side-channel information.

    Purpose of the Study:

    • To improve extractable randomness from quantum vacuum-based QRNGs.
    • To enhance the security of QRNGs against classical noise.

    Main Methods:

    • Proposed and demonstrated discarding-boundary-bin measurement to increase conditional min-entropy.
    • Implemented multi-interval sampling with multiple ADCs to overcome single-ADC limitations.
    • Combined both approaches for synergistic improvements.

    Main Results:

    • Discarding-boundary-bin measurement boosts conditional min-entropy at low quantum-to-classical noise ratios.
    • Multi-interval sampling overcomes finite resolution and uniform sampling issues of single ADCs.
    • Maximum average conditional min-entropy reached 9.2 bits/sample, compared to 6.93 bits/sample with a single 8-bit ADC.

    Conclusions:

    • The proposed methods significantly enhance randomness extraction in QRNGs.
    • These techniques improve the security and reliability of quantum random number generation.
    • Experimental demonstration validates the effectiveness of the combined approaches.