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Quantum Stream Cipher Based on Holevo-Yuen Theory: Part II.

Osamu Hirota1,2, Masaki Sohma1

  • 1Quantum ICT Research Institute, Tamagawa University, 6-1-1, Tamagawa-gakuen, Machida, Tokyo 194-8610, Japan.

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This study introduces a generalized quantum stream cipher for secure optical data transmission. It extends Shannon theory to quantum cryptography, enhancing information-theoretic security using quantum noise and optical amplifiers.

Keywords:
optical communicationquantum stream cipherunicity distance theory

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Area of Science:

  • Quantum Cryptography
  • Information-Theoretic Security (ITS)
  • Optical Communication

Background:

  • Current information-theoretic security (ITS) evaluation relies on Shannon theory's unicity distance.
  • Quantum stream ciphers require advanced models beyond Shannon's to incorporate physical layer characteristics.
  • Optical amplifiers can be integrated into quantum stream ciphers.

Purpose of the Study:

  • To establish a foundation for the security theory of quantum stream ciphers.
  • To generalize Shannon's unicity distance theory for quantum applications.
  • To present implementation methods for generalized quantum stream ciphers.

Main Methods:

  • Utilizing Holevo-Yuen theory for quantum stream cipher security.
  • Developing a generalized unicity distance theory.
  • Modeling quantum stream ciphers beyond the standard Shannon model.

Main Results:

  • A primitive structure for a generalized Shannon random cipher is explained.
  • The realization of this generalization is identified as the generalized quantum stream cipher.
  • Several implementation methods for these ciphers and their security analyses are presented.

Conclusions:

  • The generalized quantum stream cipher offers enhanced information-theoretic security for optical data.
  • The developed theory provides a framework for evaluating quantum cipher security.
  • This work paves the way for practical, secure quantum communication systems.