Files and links (1)
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open
Preprint
Maximal device-independent randomness in every dimension
27 Sep 2024
Abstract
Random numbers are used in a wide range of sciences. In many applications,
generating unpredictable private random numbers is indispensable.
Device-independent quantum random number generation is a framework that makes
use of the intrinsic randomness of quantum processes to generate numbers that
are fundamentally unpredictable according to our current understanding of
physics. While device-independent quantum random number generation is an
exceptional theoretical feat, the difficulty of controlling quantum systems
makes it challenging to carry out in practice. It is therefore desirable to
harness the full power of the quantum degrees of freedom (the dimension) that
one can control. It is known that no more than $2 \log(d)$ bits of private
device-independent randomness can be extracted from a quantum system of local
dimension $d$. In this paper we demonstrate that this bound can be achieved for
all dimensions $d$ by providing a family of explicit protocols. In order to
obtain our result, we develop new certification techniques that can be of wider
interest in device-independent applications for scenarios in which complete
certification ('self-testing') is impossible or impractical.
Metrics
3 Record Views
Details
- Title
- Maximal device-independent randomness in every dimension
- Creators
- Máté FarkasJurij VolčičSigurd A. L StorgaardRanyiliu ChenLaura Mančinska
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021905012504721