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Coherence-Based Operational Nonclassicality Criteria.

Luca Innocenti1,2, Lukáš Lachman1, Radim Filip1

  • 1Department of Optics, Palacký University, 17. Listopadu 12, 771 46 Olomouc, Czech Republic.

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This study introduces practical methods to detect quantum coherence, a key resource for quantum technologies. These criteria assess the robustness of nonclassical states against noise and loss in experiments.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Many-Body Systems

Background:

  • Nonclassicality is crucial for quantum technologies and information processing.
  • Quantum state coherence is encoded in nondiagonal density matrix elements (Fock basis).
  • Detecting and quantifying coherence is vital for harnessing quantum resources.

Purpose of the Study:

  • To develop operational criteria for detecting nonclassicality of individual quantum coherences.
  • To assess the robustness of nonclassical coherence under realistic experimental conditions (loss and noise).
  • To provide a practical toolbox for experimentalists to identify nonclassical states.

Main Methods:

  • Utilizing experimentally accessible data to define criteria for nonclassical coherence.
  • Analyzing the resilience of quantum coherence against channel-induced losses and noise.
  • Comparing the performance of different coherence detection methods.

Main Results:

  • Proposed criteria effectively detect nonclassicality of quantum coherences using realistic experimental data.
  • Nonclassical coherence aspects show varying degrees of robustness when subjected to lossy and noisy channels.
  • The developed criteria are broadly applicable across various quantum systems.

Conclusions:

  • The presented criteria offer a practical approach to identify nonclassical states in experiments.
  • Understanding coherence robustness is essential for developing fault-tolerant quantum technologies.
  • This work provides a valuable tool for advancing quantum state characterization and application.