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Security bound of cheat sensitive quantum bit commitment.

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  • 1School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275, China.

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Summary
This summary is machine-generated.

Cheat sensitive quantum bit commitment (CSQBC) protocols allow cheating but reveal information before unveiling. Optimal CSQBC protocols are useless, and fair protocols remain a challenge.

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Area of Science:

  • Quantum Information Science
  • Quantum Cryptography
  • Theoretical Computer Science

Background:

  • Quantum bit commitment (QBC) aims for secure bit commitment using quantum mechanics.
  • Unconditionally secure QBC is proven impossible.
  • Cheat sensitive QBC (CSQBC) relaxes security for feasibility.

Purpose of the Study:

  • Analyze common features of existing CSQBC protocols.
  • Evaluate the security and information leakage in CSQBC.
  • Investigate sender and receiver cheating probabilities.
  • Explore the possibility of fair CSQBC protocols.

Main Methods:

  • Analysis of common structural features in CSQBC protocols.
  • Information-theoretic analysis of cheating probabilities.
  • Mathematical modeling of sender and receiver interactions.

Main Results:

  • All analyzed CSQBC protocols allow receivers to gain non-trivial information before unveiling.
  • Receiver cheating succeeds with at least 50% probability.
  • Optimal CSQBC protocols minimizing combined cheating probabilities are trivial and impractical.
  • Sender cheating analysis is also performed.

Conclusions:

  • Existing CSQBC protocols have inherent security flaws.
  • The pursuit of optimal or fair CSQBC protocols leads to impractical or trivial solutions.
  • Further research is needed to explore alternative approaches to secure bit commitment.