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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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An inherently infinite-dimensional quantum correlation.

Andrea Coladangelo1, Jalex Stark2

  • 1Computing and Mathematical Sciences, Caltech, USA. andrea.coladangelo@gmail.com.

Nature Communications
|July 5, 2020
PubMed
Summary
This summary is machine-generated.

This study reveals a unique correlation that only infinite-dimensional quantum systems can achieve, answering a key question in quantum mechanics. This finding demonstrates a distinct signature of infinite entanglement unattainable by finite quantum systems.

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Area of Science:

  • Foundations of quantum mechanics
  • Quantum information theory
  • Quantum correlations

Background:

  • Bell's theorem proves quantum mechanics is non-local.
  • Entangled quantum systems exhibit correlations beyond classical capabilities.
  • Certain correlations quantify minimum dimensions for entanglement.

Purpose of the Study:

  • To investigate the existence of correlations exclusively attained by infinite-dimensional quantum systems.
  • To address the open question of finite correlations witnessing infinite entanglement.

Main Methods:

  • Analysis of quantum correlations.
  • Theoretical investigation of entanglement in quantum systems of varying dimensions.

Main Results:

  • Identified a specific correlation unattainable by any finite-dimensional quantum system.
  • Demonstrated that this correlation is exclusively attained by infinite-dimensional quantum systems.
  • Provided a finite correlation that serves as a witness for infinite entanglement.

Conclusions:

  • Quantum systems can exhibit correlations that necessitate infinite dimensionality.
  • This work resolves a long-standing question regarding entanglement witnesses.
  • The findings have implications for understanding the nature of entanglement and quantum correlations.