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Secure Continuous Variable Teleportation and Einstein-Podolsky-Rosen Steering.

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Securely teleporting quantum states requires specific resources. Achieving high-fidelity quantum teleportation beyond the no-cloning limit necessitates two-way steering, linking steerability to secure quantum communication.

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Area of Science:

  • Quantum Information Science
  • Quantum Communication
  • Quantum Optics

Background:

  • Continuous variable teleportation is a key quantum communication protocol.
  • Achieving high-fidelity teleportation is crucial for quantum networks.
  • Understanding resource requirements for secure quantum protocols is an active research area.

Purpose of the Study:

  • To investigate the necessary resources for secure teleportation of coherent states.
  • To explore the role of quantum teleamplification and steering in enhancing teleportation fidelity.
  • To establish an operational link between Gaussian steerability and secure quantum teleportation.

Main Methods:

  • Extension of continuous variable teleportation to include quantum teleamplification protocols.
  • Analysis of protocols with nonunity classical gains and state preamplification/postattenuation.
  • Investigation of arbitrary Gaussian protocols and Gaussian resources.

Main Results:

  • Two-way steering is required for teleportation fidelity beyond the no-cloning threshold for Gaussian protocols and resources.
  • An operational connection between Gaussian steerability and secure teleportation is established.
  • Heralded noiseless preamplification may enable high-fidelity heralded teleportation with steerable resources.

Conclusions:

  • Secure quantum teleportation relies on specific resources, including two-way steering.
  • Gaussian steerability is operationally linked to the security of quantum teleportation.
  • Practical recipes suggest heralded noiseless preamplification as a viable method for high-fidelity teleportation.