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Related Concept Videos

Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

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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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The Quantum-Mechanical Model of an Atom02:45

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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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2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

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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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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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The Pauli Exclusion Principle03:06

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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Simulating all nonsignaling correlations via classical or quantum theory with negative probabilities.

Sabri W Al-Safi1, Anthony J Short

  • 1DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.

Physical Review Letters
|November 12, 2013
PubMed
Summary

General probabilistic theories

Area of Science:

  • Foundations of quantum mechanics
  • Quantum information theory
  • General probabilistic theories

Background:

  • Nonsignaling correlations describe correlations between measurement outcomes in general probabilistic theories.
  • These correlations must obey the nonsignaling condition.

Purpose of the Study:

  • To demonstrate how nonsignaling correlations can be derived from classical or quantum theory.
  • To explore the relaxation of positivity constraints in these theories.
  • To construct quasiclassical models for quantum correlations.

Main Methods:

  • Analyzing conditional probability distributions in general probabilistic theories.
  • Relaxing positivity constraints on shared mixed states.
  • Relaxing positivity constraints on local functions generating measurement outcomes.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Main Results:

  • Any nonsignaling correlation distribution can be obtained by relaxing positivity constraints.
  • This relaxation can be applied to either the shared mixed state or local functions.
  • Two distinct quasiclassical models for quantum correlations are derived.

Conclusions:

  • Positivity constraints are key to understanding the relationship between classical, quantum, and general probabilistic theories.
  • Relaxing these constraints provides a unified framework for generating various correlation types.
  • The derived quasiclassical models offer new perspectives on quantum correlations.