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Related Concept Videos

Continuous Charge Distributions01:17

Continuous Charge Distributions

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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
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When an object's velocity changes over time, the total distance traveled can be determined by summing small displacement intervals over short increments. This approach approximates the true distance through numerical summation and the use of integral calculus. An estimate of the total displacement can be obtained by measuring velocity at regular intervals and multiplying each value by the corresponding time step.If a runner accelerates over the first three seconds of a race, speed measurements...
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Drug distribution within the body is a complex process influenced by several factors, including perfusion rate, the rate at which the bloodstream transports drugs to tissue. This limitation becomes particularly significant when dealing with highly lipophilic drugs. In such cases, the rate at which the drug can move across membranes is crucial, and if the membrane is highly permeable to the drug, distribution becomes rate-limited by perfusion.
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Short-distance transport refers to transport that occurs over a distance of just 2-3 cells, crossing the plasma membrane in the process. Small uncharged molecules, such as oxygen, carbon dioxide, and water, can diffuse across the plasma membrane on their own. In contrast, ions and larger molecules require the assistance of transport proteins due to their charge or size. Transport across membranes also occurs within individual cells, playing a variety of essential roles for the plant as a whole.
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Related Experiment Video

Updated: Jan 25, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Realistic rate-distance limit of continuous-variable quantum key distribution.

Xuyang Wang, Siyou Guo, Pu Wang

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    Summary

    Continuous variable quantum key distribution (CV QKD) faces distance limits. This study reveals excess noise significantly degrades performance, but improved reconciliation can help under specific conditions.

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    Area of Science:

    • Quantum Cryptography
    • Information Security

    Background:

    • Continuous Variable Quantum Key Distribution (CV QKD) is a key technology for secure communication.
    • Current fiber-based systems are limited to approximately 100 km.

    Purpose of the Study:

    • To investigate the realistic Rate-Distance Limit (RDL) of CV QKD.
    • To analyze the impact of reconciliation efficiency, finite-size effects, and excess noise on RDL.
    • To improve the security and practicality of CV QKD systems.

    Main Methods:

    • In-depth analysis of CV QKD parameters including reconciliation efficiency, finite-size effects, and excess noise.
    • Experimental verification of the impact of excess noise on transmission distance.
    • Revised finite-size analysis to ensure a secure RDL.

    Main Results:

    • Excess noise, particularly on Bob's side, significantly reduces transmission distance.
    • Reconciliation efficiency improvements enhance RDL, especially with higher excess noise levels.
    • A convergence modulation variance was identified for calculation simplification.
    • A loophole in finite-size analysis was addressed, guaranteeing a safe RDL.

    Conclusions:

    • Realistic factors like excess noise critically affect CV QKD performance.
    • Optimizing reconciliation strategies and finite-size analysis is crucial for practical CV QKD deployment.
    • The study provides a more accurate and secure RDL for CV QKD systems.