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Making Existing Quantum Position Verification Protocols Secure Against Arbitrary Transmission Loss.

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This study modifies quantum position verification (QPV) to overcome signal loss issues. The new protocol, c-QPV_{BB84}^{f}, maintains security despite high transmission loss, enhancing feasibility for longer distances.

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Area of Science:

  • Quantum cryptography
  • Quantum information science
  • Secure communication protocols

Background:

  • Signal loss in quantum cryptography compromises security, particularly in quantum position verification (QPV).
  • Existing QPV protocols are vulnerable to even minor transmission losses between verifiers and the prover.
  • High transmission loss limits the practical distance and security of quantum cryptographic systems.

Purpose of the Study:

  • To develop a modified quantum position verification protocol resilient to high transmission loss.
  • To ensure that signal loss does not compromise the security of QPV protocols.
  • To enhance the feasibility and security guarantees of QPV over longer distances.

Main Methods:

  • Modification of traditional QPV protocols.
  • Implementation of photon presence detection and a small time delay.
  • Inclusion of a commitment step before protocol execution.
  • Adaptation of protocols based on BB84 states (QPV_{BB84}^{f}).

Main Results:

  • Reduced the relevant loss rate to only that of the prover's laboratory.
  • Achieved essentially the same security guarantees as the original QPV protocol.
  • Demonstrated the irrelevance of high transmission loss for a class of QPV protocols.
  • Developed the adapted protocol c-QPV_{BB84}^{f}.

Conclusions:

  • The adapted c-QPV_{BB84}^{f} protocol offers strong security guarantees against signal loss.
  • The modified protocol enhances the feasibility of QPV for longer communication distances.
  • Practical implementation and parameter estimates for the protocol are discussed.