Paper 2023/311
Oblivious Transfer from Zero-Knowledge Proofs, or How to Achieve Round-Optimal Quantum Oblivious Transfer and Zero-Knowledge Proofs on Quantum States
Abstract
We provide a generic construction to turn any classical Zero-Knowledge (ZK) protocol into a composable (quantum) oblivious transfer (OT) protocol, mostly lifting the round-complexity properties and security guarantees (plain-model/statistical security/unstructured functions…) of the ZK protocol to the resulting OT protocol. Such a construction is unlikely to exist classically as Cryptomania is believed to be different from Minicrypt. In particular, by instantiating our construction using Non-Interactive ZK (NIZK), we provide the first round-optimal (2-message) quantum OT protocol secure in the random oracle model, and round-optimal extensions to string and $k$-out-of-$n$ OT. At the heart of our construction lies a new method that allows us to prove properties on a received quantum state without revealing (too much) information on it, even in a non-interactive way and/or with statistical guarantees when using an appropriate classical ZK protocol. We can notably prove that a state has been partially measured (with arbitrary constraints on the set of measured qubits), without revealing any additional information on this set. This notion can be seen as an analog of ZK to quantum states, and we expect it to be of independent interest as it extends complexity theory to quantum languages, as illustrated by the two new complexity classes we introduce, ZKstateQIP and ZKstateQMA.
Metadata
- Available format(s)
-
PDF
- Category
- Cryptographic protocols
- Publication info
- Preprint.
- Keywords
- Quantum CryptographyOblivious TransferZero-Knowledge on Quantum StatesMulti-Party ComputingZero-Knowledge
- Contact author(s)
-
leo colisson @ cwi nl
g muguruza @ uva nl
f speelman @ uva nl - History
- 2023-03-03: approved
- 2023-03-02: received
- See all versions
- Short URL
- https://ia.cr/2023/311
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2023/311, author = {Léo Colisson and Garazi Muguruza and Florian Speelman}, title = {Oblivious Transfer from Zero-Knowledge Proofs, or How to Achieve Round-Optimal Quantum Oblivious Transfer and Zero-Knowledge Proofs on Quantum States}, howpublished = {Cryptology ePrint Archive, Paper 2023/311}, year = {2023}, note = {\url{https://eprint.iacr.org/2023/311}}, url = {https://eprint.iacr.org/2023/311} }