Perfect cheating is impossible for single-qubit position verification (2024)
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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- Position-Based Quantum Cryptography
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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
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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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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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Simplified instantaneous non-local quantum computation with applications to position-based cryptography (2011) doi.org
Provides a general attack on QPV based on port-based teleportation, using an exponential amount of pre-shared EPR pairs in the number of input qubits. Also provides a QPV protocol with a provably linear lower bound.
Position-Based Quantum Cryptography › First Protocols > BB84 QPV and Generalisations: “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.”