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We found two key relationships between quantum coherence and path information in multipath interferometers. These findings extend previous work by utilizing new coherence measures for enhanced quantum information analysis.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Interferometry

Background:

  • Path information is crucial for understanding quantum measurement.
  • Quantum coherence quantifies the superposition states essential for quantum phenomena.
  • Previous studies linked path information to visibility in two-path interferometers.

Purpose of the Study:

  • To establish new quantitative relationships between quantum coherence and path information in multipath interferometers.
  • To adapt existing frameworks for analyzing quantum information in more complex systems.
  • To explore alternative measures of quantum coherence beyond visibility.

Main Methods:

  • Utilizing a recently defined l1 measure of quantum coherence.
  • Characterizing path information via mutual information between detector states and measurement outcomes.
  • Employing relative entropy-based coherence measures.

Main Results:

  • Two distinct relations between coherence and path information were identified in multipath interferometers.
  • The first relation replaces visibility with the l1 coherence measure, extending two-path interferometer results.
  • The second relation is an entropic formulation involving mutual information and relative entropy-based coherence.

Conclusions:

  • The study provides novel insights into the interplay between coherence and path information in complex quantum systems.
  • The findings offer new tools for quantifying and understanding quantum information in multipath interferometry.
  • This work contributes to the broader understanding of quantum correlations and their measurement.