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Correlations02:20

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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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Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
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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...
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In statistics, two variables are said to be correlated if the values of one variable are associated with the other variable. Depending on the relationship between two variables, correlation can be of three types– positive correlation, negative correlation, and zero correlation.
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Almost quantum correlations.

Miguel Navascués1, Yelena Guryanova2, Matty J Hoban3

  • 11] Department of Physics, Bilkent University, Ankara 06800, Turkey [2] Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain [3] H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK.

Nature Communications
|February 21, 2015
PubMed
Summary
This summary is machine-generated.

Quantum correlations are not as special as previously thought. New research defines "almost quantum" correlations that challenge the uniqueness of quantum theory, suggesting broader possibilities beyond current understanding.

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Area of Science:

  • Quantum Information Science
  • Foundations of Physics
  • Quantum Correlations

Background:

  • Quantum theory is a robust framework, with small deviations leading to implausible outcomes like faster-than-light communication.
  • It has been suggested that quantum theory possesses unique properties compared to other potential theories.
  • Understanding the boundaries and defining characteristics of quantum correlations is crucial for foundational physics.

Purpose of the Study:

  • To investigate the uniqueness of quantum correlations within the broader landscape of physical theories.
  • To define and characterize a set of correlations that are 'almost quantum'.
  • To test whether these 'almost quantum' correlations adhere to established principles defining quantum correlations.

Main Methods:

  • Definition of a novel set of correlations termed 'almost quantum'.
  • Mathematical proof demonstrating that the set of quantum correlations is a strict subset of 'almost quantum' correlations.
  • Analysis of established principles used to characterize quantum correlations against the 'almost quantum' set.
  • Numerical investigation to assess the satisfaction of the remaining principle.

Main Results:

  • The set of 'almost quantum' correlations strictly contains all quantum correlations.
  • 'Almost quantum' correlations satisfy all but one of the principles used to define quantum correlations.
  • Numerical evidence suggests the final principle is also satisfied by 'almost quantum' correlations.

Conclusions:

  • Quantum theory's correlations are not as unique or special as previously assumed.
  • The existence of 'almost quantum' correlations broadens the understanding of correlations in physical systems.
  • This finding challenges the established principles and suggests a re-evaluation of what defines quantum correlations.