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Sequential semi-device-independent quantum randomness certification

Roch i Carceller, Carles LU orcid ; Lee, Hanwool LU ; Bohr Brask, Jonatan ; Flatt, Kieran and Bae, Joonwoo (2026) In Physical Review Research 8(2).
Abstract

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... (More)

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 in single-party systems.

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Please use this url to cite or link to this publication:
author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Research
volume
8
issue
2
article number
023186
publisher
American Physical Society
external identifiers
  • scopus:105039037376
ISSN
2643-1564
DOI
10.1103/vb68-jlr3
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2026 authors. Published by the American Physical Society.
id
77c62d61-d6f4-4038-9976-66f2b4eac8c7
date added to LUP
2026-07-14 15:19:30
date last changed
2026-07-14 15:20:16
@article{77c62d61-d6f4-4038-9976-66f2b4eac8c7,
  abstract     = {{<p>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 in single-party systems.</p>}},
  author       = {{Roch i Carceller, Carles and Lee, Hanwool and Bohr Brask, Jonatan and Flatt, Kieran and Bae, Joonwoo}},
  issn         = {{2643-1564}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{2}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Research}},
  title        = {{Sequential semi-device-independent quantum randomness certification}},
  url          = {{http://dx.doi.org/10.1103/vb68-jlr3}},
  doi          = {{10.1103/vb68-jlr3}},
  volume       = {{8}},
  year         = {{2026}},
}