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Quantum Numbers02:43

Quantum Numbers

49.4K
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.
49.4K
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.
56.7K
Range00:59

Range

13.9K
The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the study of seven 16-ounce soda cans, the filled volume of soda was measured, thus producing the following amount (in ounces) of soda:
15.9; 16.1; 15.2; 14.8; 15.8; 15.9; 16.0; 15.5
Measurements of the amount of soda in a 16-ounce can vary since different subjects record these measurements or since the exact amount - 16 ounces of liquid, was not...
13.9K
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

2.6K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
2.6K
Variation: Normal Distribution, Range, and Standard Deviation02:32

Variation: Normal Distribution, Range, and Standard Deviation

27.0K
In the field of psychology, there are several ways to organize measurements of a trait, feature, or characteristic (i.e., variables). Qualitative data, such as ethnicity, can be tabulated into a frequency count to provide information about the proportion, as well as the variety of groups in a sample or population. On the other hand, researchers can perform a wider set of calculations on quantitative data. The mean, mode, and median, for instance, are central tendency measures to identify a...
27.0K
Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

778
Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
778

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Updated: Jan 22, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
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Gradient Echo Quantum Memory in Warm Atomic Vapor

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安全な量子測距

Yunkai Wang1,2,3, Graeme Smith2,3, Alex May1,2

  • 1Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.

Physical review letters
|January 20, 2026
PubMed
まとめ
この要約は機械生成です。

この研究は、正確な物体の位置特定と検証のための安全な量子測距プロトコルを紹介します。量子測距と量子位置検証（QPV）を組み合わせて、不正行為者を検出し、ハイゼンベルク限界の精度を達成します。

キーワード:
量子測距量子位置検証ハイゼンベルク限界量子情報科学量子計量学量子暗号理論

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Absolute Quantum Yield Measurement of Powder Samples
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Absolute Quantum Yield Measurement of Powder Samples

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Production and Targeting of Monovalent Quantum Dots
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Production and Targeting of Monovalent Quantum Dots

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関連する実験動画

Last Updated: Jan 22, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

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Absolute Quantum Yield Measurement of Powder Samples
14:20

Absolute Quantum Yield Measurement of Powder Samples

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Production and Targeting of Monovalent Quantum Dots
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Production and Targeting of Monovalent Quantum Dots

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科学分野:

  • 量子情報科学;量子計量学;量子暗号理論

背景:

  • 正確な物体の位置特定は、数多くのアプリケーションにとって重要です。;既存の量子測距法は、堅牢なセキュリティと位置検証を欠いています。;量子位置検証（QPV）は理論的に提案されてきましたが、実用的なフレームワークが不足しています。

研究 の 目的:

  • 安全な量子測距プロトコルを開発すること。;量子測距と量子位置検証（QPV）を統合すること。;不正行為者を検出しながら、位置推定におけるハイゼンベルク限界の精度を達成すること。

主な方法:

  • 量子測距とQPVを組み合わせた新しいプロトコルを提案します。;2つの検証者が単一の光モードで周波数にエンタングルした状態を送信します。;正直な証明者は単純なビームスプリッター操作を使用します。不正行為者は制限に直面します。

主要な成果:

  • プロトコルは、位置推定においてハイゼンベルク限界の精度を達成します。;量子測距プロセスにおける潜在的な不正行為者を同時に検出します。;QPVにおける位置検証精度を定量化するためのフレームワークが提供されます。

結論:

  • 提案されたスキームは、量子測距におけるセキュリティを強化します。;これまで研究されていなかった量子測距のセキュリティ側面に対処します。;光技術を使用した近期間の実験的実装は、古典を上回る利点のために実現可能です。