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Prepare-and-Measure Scenarios with Photon-Number Constraints

Roch I Carceller, Carles LU orcid ; Pauwels, Jef ; Pironio, Stefano and Tavakoli, Armin LU (2025) In Physical Review Letters 135(14).
Abstract

We study correlations in the prepare-and-measure scenario when quantum communication is constrained by photon-number statistics. Such constraints are natural and practical control parameters for semi-device-independent certification in optical platforms. To analyse these scenarios, we show how semidefinite programming relaxations for noncommutative polynomial optimization can be used to bound the set of quantum correlations under restrictions on the photon-number distribution. The practicality of this method is demonstrated by computing optimal performance bounds on several well-known communication tasks. We then apply the method to the certification of semi-device-inpependent random number generation protocols and show how to bound the... (More)

We study correlations in the prepare-and-measure scenario when quantum communication is constrained by photon-number statistics. Such constraints are natural and practical control parameters for semi-device-independent certification in optical platforms. To analyse these scenarios, we show how semidefinite programming relaxations for noncommutative polynomial optimization can be used to bound the set of quantum correlations under restrictions on the photon-number distribution. The practicality of this method is demonstrated by computing optimal performance bounds on several well-known communication tasks. We then apply the method to the certification of semi-device-inpependent random number generation protocols and show how to bound the conditional Shannon entropy. We showcase this versatile tool by improving randomness extraction in established protocols based on coherent states and homodyne measurements.

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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 Letters
volume
135
issue
14
article number
140802
publisher
American Physical Society
external identifiers
  • pmid:41110066
  • scopus:105019114333
ISSN
0031-9007
DOI
10.1103/glty-kkbp
language
English
LU publication?
yes
id
3dab7746-5c5f-478b-a347-221cd4f769ac
date added to LUP
2025-12-19 10:19:03
date last changed
2025-12-20 03:47:47
@article{3dab7746-5c5f-478b-a347-221cd4f769ac,
  abstract     = {{<p>We study correlations in the prepare-and-measure scenario when quantum communication is constrained by photon-number statistics. Such constraints are natural and practical control parameters for semi-device-independent certification in optical platforms. To analyse these scenarios, we show how semidefinite programming relaxations for noncommutative polynomial optimization can be used to bound the set of quantum correlations under restrictions on the photon-number distribution. The practicality of this method is demonstrated by computing optimal performance bounds on several well-known communication tasks. We then apply the method to the certification of semi-device-inpependent random number generation protocols and show how to bound the conditional Shannon entropy. We showcase this versatile tool by improving randomness extraction in established protocols based on coherent states and homodyne measurements.</p>}},
  author       = {{Roch I Carceller, Carles and Pauwels, Jef and Pironio, Stefano and Tavakoli, Armin}},
  issn         = {{0031-9007}},
  language     = {{eng}},
  number       = {{14}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{Prepare-and-Measure Scenarios with Photon-Number Constraints}},
  url          = {{http://dx.doi.org/10.1103/glty-kkbp}},
  doi          = {{10.1103/glty-kkbp}},
  volume       = {{135}},
  year         = {{2025}},
}