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Practically secure quantum position verification

Quantum Physics 2021-06-25 v3

Abstract

We discuss quantum position verification (QPV) protocols in which the verifiers create and send single-qubit states to the prover. QPV protocols using single-qubit states are known to be insecure against adversaries that share a small number of entangled qubits. We introduce QPV protocols that are practically secure: they only require single-qubit states from each of the verifiers, yet their security is broken if the adversaries share an impractically large number of shared entangled qubits. These protocols are a modification of known QPV protocols in which we include a classical random oracle without altering the amount of quantum resources needed by the verifiers. We present a cheating strategy that requires a number of entangled qubits shared among the adversaries that grows exponentially with the size of the classical input of the random oracle.

Keywords

Cite

@article{arxiv.1711.03392,
  title  = {Practically secure quantum position verification},
  author = {Siddhartha Das and George Siopsis},
  journal= {arXiv preprint arXiv:1711.03392},
  year   = {2021}
}

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v3: updated version