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Entropy Accumulation Under Post-Quantum Cryptographic Assumptions.

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  • 1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel.

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Summary

This study introduces a new framework for single-device quantum protocols, enhancing security by replacing communication assumptions with computational ones. This modular approach offers clearer, generalizable guarantees for device-independent (DI) quantum cryptography.

Keywords:
device independententropy accumulationpost-quantum cryptographyquantum information theoryrandomness certification

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Area of Science:

  • Quantum Information Science
  • Quantum Cryptography
  • Theoretical Computer Science

Background:

  • Device-independent (DI) quantum protocols traditionally rely on non-local device behavior and Bell inequality violations.
  • Emerging single-device DI protocols shift security assumptions from no communication to computational hardness.
  • Existing single-device protocols often use ad hoc methods, hindering security guarantee comparison and generalization.

Purpose of the Study:

  • To introduce a modular proof framework for single-device device-independent (DI) quantum protocols.
  • To provide conceptual clarity and quantitative security guarantees for DI protocols under computational assumptions.
  • To establish a foundation for designing and proving the security of future DI quantum cryptographic tasks.

Main Methods:

  • Developed a modular proof framework inspired by non-local DI literature.
  • Integrated tools from quantum information theory, including entropic uncertainty relations.
  • Utilized the entropy accumulation theorem for robust security analysis.

Main Results:

  • Introduced a systematic approach to analyze single-device DI protocols.
  • Achieved conceptual clarity and quantitative security guarantees.
  • Laid the groundwork for future protocol development in randomness generation, expansion, amplification, and key distribution.

Conclusions:

  • The proposed framework offers a unified and rigorous method for analyzing single-device DI quantum protocols.
  • Security is grounded in post-quantum cryptographic hardness assumptions.
  • This work facilitates the advancement of secure and practical quantum cryptographic applications.