Breaking simple quantum position verification protocols with little entanglement (2020)
Considers the case when the input bases are related by different angles and shows dimension-dependent attacks depending on the angle. Notably, they show the angle $\pi/6$ (outside the Clifford hierarchy) can be attacked with a 6-dimensional resource state.
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- 2026-10-10
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A single-qubit position verification protocol that is secure against multi-qubit attacks (2022) doi.org
Shows a robust linear lower bound on the dimension of the attack resource state.
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Position-based quantum cryptography: Impossibility and constructions (2011) doi.org
Shows security against unentangled attacks.
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On the role of quantum communication and loss in attacks on quantum position verification (2022) arxiv.org
Proves a 3/4 upper bound on the success probability of unentangled attacks.
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Perfect cheating is impossible for single-qubit position verification (2024) arxiv.org
Considers a generalisation where the input qubits are eigenstates of a $\mathbb{C}^2$ projector chosen uniformly at random. Shows that no finite-dimensional resource state can perfectly attack this protocol.
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Quantum position verification in bounded-attack-frequency model (2016) doi.org
Considers BB84 QPV with non-simultaneous arrival times of input information at the prover (the basis being encoded in which side arrived first). Discusses the general port-based attack in this setting.
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Insecurity of position-based quantum cryptography protocols against entanglement attacks (2011) doi.org
Proves insecurity of QPV protocols that were previously claimed secure and studies general principle underlying entanglement attacks. Studies variations of QPV protocols based on Bell/GHZ states and shows that using eigenstates other than Pauli $X$, $Y$, $Z$ leads to protocols…
Position-Based Quantum Cryptography › First Protocols > BB84 QPV and Generalisations: “Considers the case when the input bases are related by different angles and shows dimension-dependent attacks depending on the angle. Notably, they show the angle $\pi/6$ (outside the Clifford hierarchy) can be attacked with a 6-dimensional resource state.”