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Paper: QFactory: Classically-Instructed Remote Secret Qubits Preparation

Authors:
Alexandru Cojocaru
Léo Colisson
Elham Kashefi
Petros Wallden
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DOI: 10.1007/978-3-030-34578-5_22
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Abstract: The functionality of classically-instructed remotely prepared random secret qubits was introduced in (Cojocaru et al. 2018) as a way to enable classical parties to participate in secure quantum computation and communications protocols. The idea is that a classical party (client) instructs a quantum party (server) to generate a qubit to the server’s side that is random, unknown to the server but known to the client. Such task is only possible under computational assumptions. In this contribution we define a simpler (basic) primitive consisting of only BB84 states, and give a protocol that realizes this primitive and that is secure against the strongest possible adversary (an arbitrarily deviating malicious server). The specific functions used, were constructed based on known trapdoor one-way functions, resulting to the security of our basic primitive being reduced to the hardness of the Learning With Errors problem. We then give a number of extensions, building on this basic module: extension to larger set of states (that includes non-Clifford states); proper consideration of the abort case; and verifiablity on the module level. The latter is based on “blind self-testing”, a notion we introduced, proved in a limited setting and conjectured its validity for the most general case.
BibTeX
@article{asiacrypt-2019-30029,
  title={QFactory: Classically-Instructed Remote Secret Qubits Preparation},
  booktitle={Advances in Cryptology – ASIACRYPT 2019},
  series={Advances in Cryptology – ASIACRYPT 2019},
  publisher={Springer},
  volume={11921},
  pages={615-645},
  doi={10.1007/978-3-030-34578-5_22},
  author={Alexandru Cojocaru and Léo Colisson and Elham Kashefi and Petros Wallden},
  year=2019
}