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• W3174295831 abstract "Loss of inputs can be detrimental to the security of quantum position verification (QPV) protocols, as it may allow attackers to not answer on all played rounds, but only on those they perform well on. In this work, we study loss-tolerant QPV protocols. We propose a new fully loss-tolerant protocol, based on the SWAP test, with several desirable properties. The task of the protocol, which can be implemented using only a single beam splitter and two detectors, is to estimate the overlap between two input states. By formulating possible attacks as a semi-definite program (SDP), we prove full loss tolerance against unentangled attackers restricted to local operations and classical communication (LOCC), and that the attack probability decays exponentially under parallel repetition of rounds. Furthermore, the role of loss and quantum communication attacks in QPV is investigated more generally. We construct the first known example of a QPV protocol that is provably secure against unentangled attackers restricted to LOCC, but can be perfectly attacked by local operations and a single round of simultaneous quantum communication. However, it is also shown that any protocol secure against classical communication can be transformed into a protocol secure against quantum communication. Finally, we observe that any multi-round QPV protocol can be attacked with a linear amount of entanglement if the loss is high enough." @default.
• W3174295831 created "2021-07-05" @default.
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• W3174295831 date "2021-06-24" @default.
• W3174295831 modified "2023-09-23" @default.
• W3174295831 title "New Protocols and Ideas for Practical Quantum Position Verification" @default.
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