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Arbitrarily Long Relativistic Bit Commitment.

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We analyzed a relativistic bit commitment protocol, finding its security complexity scales linearly, not double exponentially, with commitment time. This allows for arbitrarily long commitments using classical communication and computation.

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Area of Science:

  • Quantum Information Science
  • Cryptography
  • Relativistic Physics

Background:

  • The Lunghi et al. relativistic bit commitment protocol offers a novel approach to secure cryptographic tasks.
  • Previous analyses suggested a double exponential complexity, limiting practical implementation.
  • Understanding protocol security against classical attacks is crucial for its viability.

Purpose of the Study:

  • To perform a new security analysis of the Lunghi et al. relativistic bit commitment protocol.
  • To re-evaluate the complexity scaling with commitment time.
  • To assess the protocol's practical implementation feasibility.

Main Methods:

  • Classical security analysis of the relativistic bit commitment protocol.
  • Complexity analysis focusing on the commitment time parameter.
  • Theoretical evaluation of implementation requirements.

Main Results:

  • The security complexity of the protocol scales linearly with commitment time, not double exponentially.
  • The previous double exponential scaling was an overestimation.
  • Efficient classical computation and communication enable arbitrarily long commitments.

Conclusions:

  • The relativistic bit commitment protocol is more practical than previously thought.
  • Linear complexity allows for extended commitment times, enhancing usability.
  • The protocol's security is robust against classical attacks with feasible implementation.