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Imprecision plateaus in quantum steering

Svegborn, Elna LU ; d'Alessandro, Nicola LU orcid ; Gühne, Otfried and Tavakoli, Armin LU (2025) In Phys. Rev. A 111(2).
Abstract
We study tests of quantum steering in which the trusted party does not have perfect control of their measurements. We report on steering inequalities that remain unaffected when introducing up to a threshold magnitude of measurement imprecision. This phenomenon, which we call an imprecision plateau, thus permits a departure from the standard assumption of idealized measurements without incurring any cost to the detection power of steering experiments. We provide an explanation for why imprecision plateaus are possible, a simple criterion for their existence, and tools for analyzing their properties. We also demonstrate that these plateaus have natural applications when the assumption of perfect measurements is relaxed: They allow for... (More)
We study tests of quantum steering in which the trusted party does not have perfect control of their measurements. We report on steering inequalities that remain unaffected when introducing up to a threshold magnitude of measurement imprecision. This phenomenon, which we call an imprecision plateau, thus permits a departure from the standard assumption of idealized measurements without incurring any cost to the detection power of steering experiments. We provide an explanation for why imprecision plateaus are possible, a simple criterion for their existence, and tools for analyzing their properties. We also demonstrate that these plateaus have natural applications when the assumption of perfect measurements is relaxed: They allow for maintaining both the noise robustness and loss robustness of standard steering tests and the performance rate of idealized one-sided device-independent random number generators. (Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Phys. Rev. A
volume
111
issue
2
article number
L020404
publisher
American Physical Society
external identifiers
  • scopus:85218034748
DOI
10.1103/PhysRevA.111.L020404
language
English
LU publication?
yes
id
41e5f06e-3e7a-4772-9a03-b8c9ad210a61
date added to LUP
2025-05-19 17:08:59
date last changed
2025-05-22 16:35:17
@article{41e5f06e-3e7a-4772-9a03-b8c9ad210a61,
  abstract     = {{We study tests of quantum steering in which the trusted party does not have perfect control of their measurements. We report on steering inequalities that remain unaffected when introducing up to a threshold magnitude of measurement imprecision. This phenomenon, which we call an imprecision plateau, thus permits a departure from the standard assumption of idealized measurements without incurring any cost to the detection power of steering experiments. We provide an explanation for why imprecision plateaus are possible, a simple criterion for their existence, and tools for analyzing their properties. We also demonstrate that these plateaus have natural applications when the assumption of perfect measurements is relaxed: They allow for maintaining both the noise robustness and loss robustness of standard steering tests and the performance rate of idealized one-sided device-independent random number generators.}},
  author       = {{Svegborn, Elna and d'Alessandro, Nicola and Gühne, Otfried and Tavakoli, Armin}},
  language     = {{eng}},
  month        = {{02}},
  number       = {{2}},
  publisher    = {{American Physical Society}},
  series       = {{Phys. Rev. A}},
  title        = {{Imprecision plateaus in quantum steering}},
  url          = {{http://dx.doi.org/10.1103/PhysRevA.111.L020404}},
  doi          = {{10.1103/PhysRevA.111.L020404}},
  volume       = {{111}},
  year         = {{2025}},
}