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Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Norton's Theorem01:14

Norton's Theorem

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Norton's theorem is a fundamental principle stating that a linear two-terminal circuit can be substituted with an equivalent circuit, which comprises a current source (ⅠN) in parallel with a resistor (RN). Here, ⅠN represents the short-circuit current flowing through the terminals, and RN stands for the input or equivalent resistance at the terminals when all independent sources are deactivated. This implies that the circuit illustrated in Figure (a) can be exchanged with the one depicted...
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The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Emission Spectra02:39

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When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
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Net Change Theorem01:22

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The Net Change Theorem is a fundamental principle in calculus that establishes a direct relationship between a function’s rate of change and its accumulated change over an interval. Mathematically, it states that the definite integral of a function's derivative over a given interval [a,b] yields the net change in the original function:This theorem has significant applications in various real-world scenarios, including physics, economics, and engineering. A particularly useful application...
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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...
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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ポスト量子暗号

Daniel J Bernstein1, Tanja Lange2

  • 1Department of Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USA.

Nature
|September 15, 2017
PubMed
まとめ
この要約は機械生成です。

量子攻撃に耐える数学の問題を用いて 量子コンピュータに対する安全性を保証します 課題は 未来のデジタルシステムの ユーザビリティと 堅実なセキュリティのバランスを取ることです

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関連する実験動画

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科学分野:

  • コンピュータ科学
  • 数学について
  • サイバーセキュリティ

背景:

  • 現在の暗号システムは 大型量子コンピュータの登場で 時代遅れになりつつある
  • 量子コンピューティングはオンライン通信,車両,医療機器のセキュリティに重大な脅威をもたらします.
  • 量子暗号化 (PQC) は,これらの将来のセキュリティ上の課題に取り組むための重要な分野として浮上しています.

研究 の 目的:

  • 量子コンピュータの攻撃に対して安全な暗号システムの開発を 探求する.
  • 量子アルゴリズムの加速に抵抗する 数学的基礎を特定する
  • 暗号の使いやすさと柔軟性を維持するという 核心的な課題に取り組むこと

主な方法:

  • 量子アルゴリズムで解決できない 数学的問題を研究する
  • これらの問題に基づいた新しい暗号アルゴリズムの設計と分析.
  • 量子暗号化後のシステムのセキュリティと性能の評価

主要な成果:

  • 固有の量子抵抗を持つ数学的演算の識別
  • 候補のポスト量子暗号アルゴリズムの開発
  • PQCにおけるセキュリティ,可用性,および柔軟性のトレードオフを理解する.

結論:

  • 将来のデジタルセキュリティには 量子暗号化が不可欠です
  • 実践的な展開のためにPQCシステムを改良するには,継続的な研究が必要です.
  • セキュリティのニーズとユーザー要求のバランスを取ることは,PQCの成功の鍵です.