Position-based cryptography (2009)
Establishes classical impossibility of position-based cryptography in the vanilla model. Explores possibility in the bounded-storage model.
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- Position-Based Quantum Cryptography
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Position-based quantum cryptography: Impossibility and constructions (2011) doi.org
Shows security against unentangled attacks.
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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.
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Geometry of Banach spaces: A new route towards position based cryptography (2021) doi.org
Provides a new protocol based on applying a phase unitary depending on the classical input information. Shows an exponential lower bound under a regularity assumption on the attack, and an exponential lower bound conditioned on an, as yet, unresolved Banach space geometry…
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Practical position-based quantum cryptography (2015) doi.org
Considers the case where the two input bases are related by a unitary $U$.
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Security of position-based quantum cryptography limits Hamiltonian simulation via holography (2024) doi.org
Connects QPV to Hamiltonian simulation. Shows that if a superlinear lower bound can be shown for QPV attacks, then there are new fundamental lower bounds for resources required for one Hamiltonian to simulate another.
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Towards practical quantum position verification (2023) arxiv.org
Delves into some technical hardware details of a practical QPV implementation.
Position-Based Quantum Cryptography › Classical Impossibility: “Establishes classical impossibility of position-based cryptography in the vanilla model. Explores possibility in the bounded-storage model.”