Sequential Semi-Device-Independent Quantum Randomness Certification

Fuente: arXiv
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Main Authors: Carceller, Carles Roch I, Lee, Hanwool, Brask, Jonatan Bohr, Flatt, Kieran, Bae, Joonwoo
Format: Preprint
Published: 2025
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author Carceller, Carles Roch I
Lee, Hanwool
Brask, Jonatan Bohr
Flatt, Kieran
Bae, Joonwoo
author_facet Carceller, Carles Roch I
Lee, Hanwool
Brask, Jonatan Bohr
Flatt, Kieran
Bae, Joonwoo
contents Quantum measurements under realistic conditions reveal only partial information about a system. Yet, by performing sequential measurements on the same system, additional information can be accessed. We investigate this problem in the context of semi-device-independent randomness certification using sequential maximum confidence measurements. We develop a general framework and versatile numerical methods to bound the amount of certifiable randomness in such scenarios. We further introduce a technique to compute min-tradeoff functions via semidefinite programming duality, thus making the framework suitable for bounding the certifiable randomness against adaptive attacking strategies through entropy accumulation. Our results establish sufficient criteria showing that maximum confidence measurements enable the distribution and certification of randomness across a sequential measurement chain.
format Preprint
id arxiv_https___arxiv_org_abs_2510_19445
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sequential Semi-Device-Independent Quantum Randomness Certification
Carceller, Carles Roch I
Lee, Hanwool
Brask, Jonatan Bohr
Flatt, Kieran
Bae, Joonwoo
Quantum Physics
Quantum measurements under realistic conditions reveal only partial information about a system. Yet, by performing sequential measurements on the same system, additional information can be accessed. We investigate this problem in the context of semi-device-independent randomness certification using sequential maximum confidence measurements. We develop a general framework and versatile numerical methods to bound the amount of certifiable randomness in such scenarios. We further introduce a technique to compute min-tradeoff functions via semidefinite programming duality, thus making the framework suitable for bounding the certifiable randomness against adaptive attacking strategies through entropy accumulation. Our results establish sufficient criteria showing that maximum confidence measurements enable the distribution and certification of randomness across a sequential measurement chain.
title Sequential Semi-Device-Independent Quantum Randomness Certification
topic Quantum Physics
url https://arxiv.org/abs/2510.19445