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Conditional Quantum One-Time Pad.

Kunal Sharma1, Eyuri Wakakuwa2, Mark M Wilde1

  • 1Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, and Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA.

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|February 22, 2020
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Summary
This summary is machine-generated.

Researchers developed a conditional one-time pad for secure quantum communication. The optimal secret communication rate equals conditional quantum mutual information, I(A;B|E), ensuring security against eavesdroppers.

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Area of Science:

  • Quantum Information Theory
  • Quantum Cryptography
  • Quantum Communication Security

Background:

  • Secure communication protocols are essential in quantum information science.
  • Existing quantum communication models often assume perfect security or limited eavesdropping scenarios.
  • The need for robust protocols against partial eavesdropping is critical.

Purpose of the Study:

  • To introduce and analyze the conditional one-time pad task.
  • To determine the optimal rate of secret communication under specific eavesdropping conditions.
  • To provide an operational meaning for conditional quantum mutual information.

Main Methods:

  • Development of a theoretical model involving Alice, Bob, and an eavesdropper Eve.
  • Utilizing shared quantum states (ρ_{ABE}) and an ideal quantum channel.
  • Mathematical proof establishing the relationship between secret communication rate and conditional quantum mutual information I(A;B|E).

Main Results:

  • The optimal rate for the conditional one-time pad is proven to be the conditional quantum mutual information I(A;B|E).
  • This finding assigns a new operational meaning to conditional quantum mutual information.
  • The model was generalized to include secret-sharing tasks.

Conclusions:

  • Conditional quantum mutual information quantifies secure communication rates in the presence of partial eavesdropping.
  • The conditional one-time pad offers a novel approach to quantum security.
  • The research extends the understanding of information-theoretic security in quantum systems.