Paper 2024/630

Conditional disclosure of secrets with quantum resources

Vahid R. Asadi, University of Waterloo
Kohdai Kuroiwa, Perimeter Institute for Theoretical Physics, University of Waterloo
Debbie Leung, Perimeter Institute for Theoretical Physics, University of Waterloo
Alex May, Perimeter Institute for Theoretical Physics, University of Waterloo
Sabrina Pasterski, Perimeter Institute for Theoretical Physics
Chris Waddell, Perimeter Institute for Theoretical Physics

The conditional disclosure of secrets (CDS) primitive is among the simplest cryptographic settings in which to study the relationship between communication, randomness, and security. CDS involves two parties, Alice and Bob, who do not communicate but who wish to reveal a secret $z$ to a referee if and only if a Boolean function $f$ has $f(x,y)=1$. Alice knows $x,z$, Bob knows $y$, and the referee knows $x,y$. Recently, a quantum analogue of this primitive called CDQS was defined and related to f-routing, a task studied in the context of quantum position-verification. CDQS has the same inputs, outputs, and communication pattern as CDS but allows the use of shared entanglement and quantum messages. We initiate the systematic study of CDQS, with the aim of better understanding the relationship between privacy and quantum resources in the information theoretic setting. We begin by looking for quantum analogues of results already established in the classical CDS literature. Doing so we establish a number of basic properties of CDQS, including lower bounds on entanglement and communication stated in terms of measures of communication complexity. Because of the close relationship to the $f$-routing position-verification scheme, our results have relevance to the security of these schemes.

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Publication info
Published elsewhere. arXiv preprint server
information theoretic cryptographyconditional disclosure of secretscommunication complexity
Contact author(s)
vrasadi @ uwaterloo ca
kkuroiwa @ perimeterinstitute ca
wcleung @ uwaterloo ca
amay @ perimeterinstitute ca
spasterski @ perimeterinstitute ca
cwaddell @ perimeterinstitute ca
2024-04-26: approved
2024-04-24: received
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      author = {Vahid R. Asadi and Kohdai Kuroiwa and Debbie Leung and Alex May and Sabrina Pasterski and Chris Waddell},
      title = {Conditional disclosure of secrets with quantum resources},
      howpublished = {Cryptology ePrint Archive, Paper 2024/630},
      year = {2024},
      doi = {},
      note = {\url{}},
      url = {}
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