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This study provides the first composable security proof for continuous-variable quantum key distribution using coherent states against collective attacks. The findings confirm that Gaussian attacks are asymptotically optimal in this framework.

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Area of Science:

  • Quantum Information Science
  • Cryptography
  • Quantum Computing

Background:

  • Continuous-variable quantum key distribution (CV-QKD) is a promising technology for secure communication.
  • Existing security proofs often rely on specific assumptions or do not cover all relevant attack types.
  • Composable security is a rigorous framework for analyzing the security of cryptographic protocols.

Purpose of the Study:

  • To provide the first composable security proof for CV-QKD with coherent states against collective attacks.
  • To confirm the optimality of Gaussian attacks in the asymptotic limit within the composable security framework.
  • To introduce a parameter estimation procedure applicable to finite-size settings.

Main Methods:

  • Development of a composable security proof tailored for CV-QKD with coherent states.
  • Analysis of the secret key rate in the limit of large blocks, relating it to the Holevo bound.
  • Application of the de Finetti theorem or postselection technique to extend security against general attacks.

Main Results:

  • The first composable security proof for CV-QKD against collective attacks is established.
  • The secret key rate converges to the Holevo bound in the large block limit.
  • The security against general attacks is demonstrated, confirming Gaussian attack optimality asymptotically.

Conclusions:

  • The developed proof enhances the security guarantees for CV-QKD protocols.
  • The parameter estimation technique offers a versatile tool for quantum information tasks beyond QKD.
  • This work solidifies the theoretical foundation for secure quantum communication systems.