Seedless Extractors for Device-Independent Quantum Cryptography

• URL: http://arxiv.org/abs/2403.04713v1
• Date: Thu, 7 Mar 2024 18:07:52 GMT
• Title: Seedless Extractors for Device-Independent Quantum Cryptography
• Authors: Cameron Foreman and Lluis Masanes
• Abstract summary: Device-independent (DI) quantum cryptography aims at providing secure cryptography with minimal trust in, or characterisation of, the underlying quantum devices. An essential step in DI protocols is randomness extraction (or privacy amplification) which requires the honest parties to have a seed of additional bits with sufficient entropy and statistical independence of any bits generated during the protocol. In this work we introduce a method for extraction in DI protocols which does not require a seed and is secure against computationally unbounded quantum adversary.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Device-independent (DI) quantum cryptography aims at providing secure cryptography with minimal trust in, or characterisation of, the underlying quantum devices. An essential step in DI protocols is randomness extraction (or privacy amplification) which requires the honest parties to have a seed of additional bits with sufficient entropy and statistical independence of any bits generated during the protocol. In this work we introduce a method for extraction in DI protocols which does not require a seed and is secure against computationally unbounded quantum adversary. The key idea is to use the Bell violation of the raw data, instead of its min-entropy, as the extractor promise.

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