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Finite-resource teleportation stretching for continuous-variable systems.

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Adaptive quantum communication protocols are simplified into block versions using finite energy resource states. This research offers new bounds for secret-key capacity in Gaussian channels, applicable to various communication setups.

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Area of Science:

  • Quantum Information Science
  • Quantum Communication
  • Quantum Information Theory

Background:

  • Adaptive protocols for quantum and private communication over bosonic Gaussian channels are complex.
  • Existing methods often require infinite energy resources, posing practical limitations.

Purpose of the Study:

  • To simplify adaptive quantum and private communication protocols through bosonic Gaussian channels.
  • To derive weak converse upper bounds for the secret-key capacity of phase-insensitive Gaussian channels.

Main Methods:

  • Combining an adaptive-to-block reduction technique with teleportation stretching and relative entropy of entanglement.
  • Utilizing a recent finite-resource simulation of Gaussian channels.

Main Results:

  • Demonstrated simplification of adaptive protocols into more manageable block versions.
  • Derived weak converse upper bounds for secret-key capacity that approximate infinite energy limits.
  • Showcased applicability to both point-to-point and repeater-assisted private communications.

Conclusions:

  • Adaptive quantum communication protocols can be effectively simplified using finite energy resource states.
  • The derived bounds provide valuable insights into the achievable secret-key capacity of Gaussian channels.
  • The findings have implications for practical implementations of secure quantum communication systems.