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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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. Schrödinger...
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2D NMR: Overview of Heteronuclear Correlation Techniques01:18

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Classical Mechanics01:12

Classical Mechanics

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Related Experiment Video

Updated: Jun 8, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Quantum versus classical correlations in Gaussian states.

Gerardo Adesso1, Animesh Datta

  • 1School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

This study generalizes quantum discord for continuous variable systems, revealing that most two-mode Gaussian states exhibit quantum correlations. It also establishes bounds for discord relative to entanglement.

Related Experiment Videos

Last Updated: Jun 8, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Area of Science:

  • Quantum Information Theory
  • Quantum Optics
  • Condensed Matter Physics

Background:

  • Quantum discord quantifies non-classical correlations beyond entanglement.
  • Continuous variable (CV) systems are crucial for quantum information processing.
  • Understanding correlations in multi-mode Gaussian states is essential.

Purpose of the Study:

  • Generalize quantum discord to continuous variable systems.
  • Analytically calculate quantum discord for two-mode Gaussian states.
  • Investigate the relationship between quantum discord, classical correlations, and entanglement.

Main Methods:

  • Analytical calculation of quantum discord for two-mode Gaussian states.
  • Optimization over all possible Gaussian measurements.
  • Derivation of a closed formula for Gaussian entanglement of formation for three-mode states.

Main Results:

  • Quantum discord is calculated analytically for all two-mode Gaussian states.
  • Almost all two-mode Gaussian states possess quantum correlations.
  • Separable states exhibit quantum discord less than unity.
  • Tight upper and lower bounds for quantum discord are established for a given entanglement.

Conclusions:

  • The study provides a comprehensive analysis of quantum discord in continuous variable systems.
  • A duality between entanglement and classical correlations is highlighted.
  • The findings offer insights into the nature of quantum correlations in multi-partite Gaussian states.