Local finite rate semi device independent randomness expansion from quantum contextuality
Abstract
Finite rate randomness expansion (RE) which is secure against quantum adversaries is a crucial information processing task which is well studied in the case of two non-communicating parties sharing Bell non-local correlations in a device independent manner. In this paper we show that contextual correlations with only a single localized party are sufficient for RE in a semi-device independent (SDI) manner. We propose a template SDI-RE protocol which is applicable for arbitrary N-cycle non-contextuality (NC) inequalities and derive its RE rate under finite statistics. As a special case, we also highlight the advantages of the situation when RE is constrained by Clauser-Horne-Shimony-Holt (CHSH) inequality but with characterized measurements implemented by only a single party. Our template protocol also incorporates non-ideal statistics which may not satisfy perfect commutativity and perfect repeatability, both of which are necessary in a loophole-free test of NC inequalities. As such, several recent experimental implementations of significantly loophole-free tests of NC inequalities can be modified for secure RE following our approach.
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BibTeX
@misc{ghosh2026local,
title = {{Local finite rate semi device independent randomness expansion from quantum contextuality}},
author = {Dhananjoy Ghosh and Nandana J and Jaskaran Singh},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21765},
eprint = {2610.21765},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21765},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Local finite rate semi device independent randomness expansion from quantum contextuality
AU - Dhananjoy Ghosh
AU - Nandana J
AU - Jaskaran Singh
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.21765
UR - https://arxiv.org/abs/2610.21765
AB - Finite rate randomness expansion (RE) which is secure against quantum adversaries is a crucial information processing task which is well studied in the case of two non-communicating parties sharing Bell non-local correlations in a device independent manner. In this paper we show that contextual correlations with only a single localized party are sufficient for RE in a semi-device independent (SDI) manner. We propose a template SDI-RE protocol which is applicable for arbitrary N-cycle non-contextuality (NC) inequalities and derive its RE rate under finite statistics. As a special case, we also highlight the advantages of the situation when RE is constrained by Clauser-Horne-Shimony-Holt (CHSH) inequality but with characterized measurements implemented by only a single party. Our template protocol also incorporates non-ideal statistics which may not satisfy perfect commutativity and perfect repeatability, both of which are necessary in a loophole-free test of NC inequalities. As such, several recent experimental implementations of significantly loophole-free tests of NC inequalities can be modified for secure RE following our approach.
ER -