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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

50.0K
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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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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2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

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Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
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Complementary DNA01:44

Complementary DNA

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Overview
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Correlations02:20

Correlations

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Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
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Correlation and Causation01:27

Correlation and Causation

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Statistical tests can calculate whether there is a relationship, or correlation, between independent and dependent variables. An indirect relationship of the variables signifies a correlation, while a direct relationship shows causation. If it is determined that no connection exists between the variables, then the correlation is a coincidence.
Correlation versus Causation
If the dependent variable increases or decreases when the independent variable increases, there is a positive or negative...
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Complementary relation of quantum coherence and quantum correlations in multiple measurements.

Zeyang Fan1, Yi Peng2,3, Yu-Ran Zhang4,5

  • 1School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China.

Scientific Reports
|January 24, 2019
PubMed
Summary

We established complementary relations for quantum coherence and correlations, showing their lower bounds in multipartite systems using entropic uncertainty relations. This highlights the uncertainty principle

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Area of Science:

  • Quantum Information Science
  • Quantum Mechanics
  • Quantum Information Theory

Background:

  • Quantum coherence and correlations are fundamental to quantum mechanics, distinguishing it from classical mechanics.
  • These properties are central to the field of quantum information science.
  • Understanding their behavior is crucial for developing quantum technologies.

Purpose of the Study:

  • To present complementary relations for quantifying quantum coherence and quantum correlations.
  • To investigate thermal discord and conditional information under multiple measurement scenarios.
  • To explore the implications of entropic uncertainty relations for these quantum properties.

Main Methods:

  • Development of complementary relations for quantum coherence and correlations.
  • Focus on thermal discord and conditional information in multipartite systems.
  • Application of entropic uncertainty relations with multiple measurements.

Main Results:

  • A lower bound is established for the summation of quantum coherence quantified across different bases.
  • Similar lower bounds are derived for thermal discord and post-measurement conditional information.
  • These findings are demonstrated in the context of multiple measurements in multipartite systems.

Conclusions:

  • The uncertainty principle provides a general framework applicable to various quantum information concepts.
  • Complementary relations offer new insights into the interplay between coherence, correlations, and uncertainty.
  • The results have implications for understanding and manipulating quantum information in complex systems.