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Quantifying the Coherence between Coherent States.

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This summary is machine-generated.

We developed a method to quantify quantum coherence in superpositions of coherent states. This reveals shared quantum resources between discrete quantum coherence and nonclassical light.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Foundations

Background:

  • Quantum coherence is a fundamental resource in quantum information processing.
  • Quantifying coherence is essential for understanding and utilizing quantum advantages.
  • Existing methods often focus on specific quantum systems or properties.

Purpose of the Study:

  • To develop an orthogonalization procedure for quantifying coherence in arbitrary superpositions of coherent states.
  • To connect quantum coherence in finite-dimensional systems with nonclassicality in continuous-variable quantum optics.
  • To establish deeper connections between resource theories of quantum coherence and linear optics.

Main Methods:

  • An orthogonalization procedure for quantifying quantum coherence.
  • Identification of a coherence resource monotone.
  • Framework of a resource theory of linear optics.

Main Results:

  • The developed procedure quantifies coherence in arbitrary superpositions of coherent states.
  • The identified resource monotone characterizes nonclassicality, linking it to the Glauber-Sudarshan P distribution.
  • Identical quantum resources underlie discrete quantum coherence and nonclassicality of quantum light.
  • The construction connects incoherent operations in finite dimensions with linear optical operations in continuous variables.

Conclusions:

  • The study provides a unified framework for quantifying quantum coherence and nonclassicality.
  • It highlights fundamental connections between discrete and continuous variable quantum resources.
  • The findings advance the understanding of quantum resources and their applications in quantum technologies.