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Quantum Communication Using Coherent Rejection Sampling.

Anurag Anshu1, Vamsi Krishna Devabathini1, Rahul Jain2

  • 1Centre for Quantum Technologies, National University of Singapore, 21 Lower Kent Ridge Rd, 119077 Singapore.

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Summary
This summary is machine-generated.

This study introduces a new quantum message compression technique using entanglement and a novel convex split lemma. This advances quantum information theory by providing efficient protocols for state merging, splitting, and redistribution.

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Area of Science:

  • Quantum Information Theory
  • Quantum Communication Protocols

Background:

  • Quantum information theory relies on efficient message compression, with early schemes by Schumacher and subsequent developments.
  • One-shot characterization of quantum tasks remains underdeveloped and often disconnected from classical analogues.

Purpose of the Study:

  • To develop a new technique for quantum message compression utilizing entanglement.
  • To establish a direct connection between classical and quantum communication tasks through a novel tool.

Main Methods:

  • Introduction of the 'convex split lemma,' a quantum analogue of classical rejection sampling.
  • Application of the convex split lemma to devise new quantum communication protocols.

Main Results:

  • New explicit protocols for quantum state merging, splitting, and redistribution with tight communication costs.
  • A port-based teleportation scheme requiring fewer ports when input information is known.

Conclusions:

  • The convex split lemma provides a powerful tool for quantum information processing.
  • This work bridges the gap between classical and quantum communication characterizations, offering practical advancements.