International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Secure Identification and QKD in the Bounded-Quantum-Storage Model

Ivan Damgård
Serge Fehr
Louis Salvail
Christian Schaffner
Search ePrint
Search Google
Abstract: We consider the problem of secure identification: user U proves to server S that he knows an agreed (possibly low-entropy) password w, while giving away as little information on w as possible, namely the adversary can exclude at most one possible password for each execution of the scheme. We propose a solution in the bounded-quantum-storage model, where U and S may exchange qubits, and a dishonest party is assumed to have limited quantum memory. No other restriction is posed upon the adversary. An improved version of the proposed identification scheme is also secure against a man-in-the-middle attack, but requires U and S to additionally share a high-entropy key k. However, security is still guaranteed if one party loses k to the attacker but notices the loss. In both versions of the scheme, the honest participants need no quantum memory, and noise and imperfect quantum sources can be tolerated. The schemes compose sequentially, and w and k can securely be re-used. A small modification to the identification scheme results in a quantum-key-distribution (QKD) scheme, secure in the bounded-quantum-storage model, with the same re-usability properties of the keys, and without assuming authenticated channels. This is in sharp contrast to known QKD schemes (with unbounded adversary) without authenticated channels, where authentication keys must be updated, and unsuccessful executions can cause the parties to run out of keys.
  title={Secure Identification and QKD in the Bounded-Quantum-Storage Model},
  booktitle={IACR Eprint archive},
  keywords={cryptographic protocols / quantum cryptography, identification, QKD, bounded-quantum-storage model},
  note={Full version of CRYPTO 2007 paper. 13744 received 19 Aug 2007},
  author={Ivan Damgård and Serge Fehr and Louis Salvail and Christian Schaffner},