Seedless extractors for device-independent quantum cryptography

Fuente: arXiv
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Auteurs principaux: Foreman, Cameron, Masanes, Lluis
Format: Preprint
Publié: 2024
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author Foreman, Cameron
Masanes, Lluis
author_facet Foreman, Cameron
Masanes, Lluis
contents Device-independent (DI) quantum cryptography aims at providing secure cryptography with minimal trust in, or characterisation of, the underlying quantum devices. A key step in DI protocols is randomness extraction (or privacy amplification), which typically requires a \textit{seed} of additional bits with sufficient entropy and statistical independence from any bits generated during the protocol. In this work, we propose a method for extraction in DI protocols that does not require a seed and is secure against computationally unbounded quantum adversaries. The core idea is to use the Bell violation of the raw data, rather than its min-entropy, as the extractor promise. We present a complete security proof in a model where the experiment uses memoryless measurement devices acting on an arbitrary joint (across all rounds) state. Our results mark a first step in this alternative, seedless, approach to extraction in DI protocols.
format Preprint
id arxiv_https___arxiv_org_abs_2403_04713
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Seedless extractors for device-independent quantum cryptography
Foreman, Cameron
Masanes, Lluis
Quantum Physics
Device-independent (DI) quantum cryptography aims at providing secure cryptography with minimal trust in, or characterisation of, the underlying quantum devices. A key step in DI protocols is randomness extraction (or privacy amplification), which typically requires a \textit{seed} of additional bits with sufficient entropy and statistical independence from any bits generated during the protocol. In this work, we propose a method for extraction in DI protocols that does not require a seed and is secure against computationally unbounded quantum adversaries. The core idea is to use the Bell violation of the raw data, rather than its min-entropy, as the extractor promise. We present a complete security proof in a model where the experiment uses memoryless measurement devices acting on an arbitrary joint (across all rounds) state. Our results mark a first step in this alternative, seedless, approach to extraction in DI protocols.
title Seedless extractors for device-independent quantum cryptography
topic Quantum Physics
url https://arxiv.org/abs/2403.04713