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We found that quantum causality measures can bound quantum channel capacity. This new bound is simpler and improves over existing ones for certain noisy quantum channels.

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Area of Science:

  • Quantum Information Science
  • Quantum Communication Theory
  • Quantum Correlation Dynamics

Background:

  • Channel capacity quantifies maximum entanglement generation rate.
  • Quantum causality measures temporal aspects of quantum correlations.
  • Operational significance of temporal correlations in quantum communication is underdeveloped.

Purpose of the Study:

  • To establish a link between quantum causality and channel capacity.
  • To introduce a new, simpler upper bound for channel capacity based on causality.
  • To demonstrate the practical utility of this causality-based bound.

Main Methods:

  • Quantifying temporal correlations using a causality measure.
  • Deriving an upper bound on channel capacity from the causality measure.
  • Applying the derived bound to shifted depolarizing channels.

Main Results:

  • Temporal correlations quantified by causality imply a general upper bound on channel capacity.
  • The new causality-based bound is simpler to compute than previous bounds.
  • The bound shows improved performance for shifted depolarizing channels.

Conclusions:

  • Quantum causality provides a fundamental link to channel capacity.
  • The derived causality-based bound offers a practical tool for quantum communication research.
  • This work opens new avenues for exploring temporal correlations in quantum information processing.