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Measuring Quantum Coherence with Entanglement.

Alexander Streltsov1, Uttam Singh2, Himadri Shekhar Dhar2,3

  • 1ICFO-The Institute of Photonic Sciences, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain.

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This summary is machine-generated.

Researchers show how quantum coherence can be converted into entanglement using incoherent operations. This breakthrough enables new ways to quantify coherence as a resource, crucial for quantum technologies.

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Area of Science:

  • Quantum Information Science
  • Quantum Thermodynamics
  • Quantum Biology

Background:

  • Quantum coherence is fundamental for quantum information processing, nanoscale thermodynamics, and quantum biology.
  • Current understanding and operational characterization of coherence as a resource are limited.

Purpose of the Study:

  • To establish a quantitative and operational link between quantum coherence and entanglement.
  • To define a new class of general coherence measures based on entanglement generation.

Main Methods:

  • Demonstrating the conversion of coherence to entanglement via incoherent operations.
  • Defining coherence measures based on the maximum bipartite entanglement generated.
  • Proving these measures are valid coherence monotones.

Main Results:

  • Any degree of coherence can be converted into entanglement using incoherent operations.
  • A novel class of general coherence measures is defined.
  • The fidelity-based geometric measure of coherence is shown to be a full convex coherence monotone.

Conclusions:

  • Establishes a clear quantitative and operational connection between coherence and entanglement.
  • Provides valid coherence monotones essential for the resource theory of quantum coherence.
  • Advances the understanding and utilization of quantum coherence for quantum technologies.