Loss-tolerant position-based quantum cryptography

Abstract

Position-based quantum cryptography (PBQC) allows a party to use its geographical location as its only credential to implement various cryptographic protocols. Such a protocol may lead to important applications in practice. Although it has been shown that any PBQC protocol is breakable if the adversaries pre-share an arbitrarily large entangled state, the security of PBQC in the bounded-quantum-storage model is still an open question. In this paper, we study the performance of various PBQC protocols over a lossy channel under the assumption that no entanglement is pre-shared between adversaries. By introducing the decoy state idea, we show that an extended BB84-type PBQC protocol implemented with a weak coherent source and realistic single photon detectors can tolerate an overall loss (including both the channel loss and the detection efficiency) of 13 dB if the intrinsic quantum bit error rate is 1%. We also study a few continuous variable PBQC protocols and show that they suffer from a 3 dB loss limitation.

9 pages, 1 figure

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Cited by in corpus (12)

• Distributing Secret Keys with Quantum Continuous Variables: Principle, Security and Implementations
• Continuous variable B92 quantum key distribution protocol using single photon added and subtracted coherent states
• Practical Position-Based Quantum Cryptography
• A single-qubit position verification protocol that is secure against multi-qubit attacks
• Quantum cryptography beyond key distribution: theory and experiment
• Loss-tolerant quantum secure positioning with weak laser sources
• Single-qubit loss-tolerant quantum position verification protocol secure against entangled attackers
• Practically secure quantum position verification
• Free-space reconfigurable quantum key distribution network
• Continuous-variable Quantum Position Verification secure against entangled attackers
• Making Existing Quantum Position Verification Protocols Secure Against Arbitrary Transmission Loss
• Impossibility of perfect cheating for single-qubit position verification