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Quantum Steering with Imprecise Measurements

Tavakoli, Armin LU (2024) In Physical Review Letters 132(7).
Abstract

We study quantum steering experiments without assuming that the trusted party can perfectly control their measurement device. Instead, we introduce a scenario in which these measurements are subject to small imprecision. We show that small measurement imprecision can have a large detrimental influence in terms of false positives for steering inequalities, and that this effect can become even more relevant for high-dimensional systems. We then introduce a method for taking generic measurement imprecision into account in tests of bipartite steering inequalities. The revised steering bounds returned by this method are analytical, easily computable, and are even optimal for well-known families of arbitrary-dimensional steering tests.... (More)

We study quantum steering experiments without assuming that the trusted party can perfectly control their measurement device. Instead, we introduce a scenario in which these measurements are subject to small imprecision. We show that small measurement imprecision can have a large detrimental influence in terms of false positives for steering inequalities, and that this effect can become even more relevant for high-dimensional systems. We then introduce a method for taking generic measurement imprecision into account in tests of bipartite steering inequalities. The revised steering bounds returned by this method are analytical, easily computable, and are even optimal for well-known families of arbitrary-dimensional steering tests. Furthermore, it applies equally well to generalized quantum steering scenarios, where the shared quantum state does not need to be separable, but is instead limited by some other entanglement property.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
132
issue
7
article number
070204
publisher
American Physical Society
external identifiers
  • pmid:38427889
  • scopus:85185343788
ISSN
0031-9007
DOI
10.1103/PhysRevLett.132.070204
language
English
LU publication?
yes
id
30a786a5-e62b-4c17-b9ac-55aca87eb7cd
date added to LUP
2024-03-27 10:08:17
date last changed
2024-04-24 14:01:18
@article{30a786a5-e62b-4c17-b9ac-55aca87eb7cd,
  abstract     = {{<p>We study quantum steering experiments without assuming that the trusted party can perfectly control their measurement device. Instead, we introduce a scenario in which these measurements are subject to small imprecision. We show that small measurement imprecision can have a large detrimental influence in terms of false positives for steering inequalities, and that this effect can become even more relevant for high-dimensional systems. We then introduce a method for taking generic measurement imprecision into account in tests of bipartite steering inequalities. The revised steering bounds returned by this method are analytical, easily computable, and are even optimal for well-known families of arbitrary-dimensional steering tests. Furthermore, it applies equally well to generalized quantum steering scenarios, where the shared quantum state does not need to be separable, but is instead limited by some other entanglement property.</p>}},
  author       = {{Tavakoli, Armin}},
  issn         = {{0031-9007}},
  language     = {{eng}},
  month        = {{02}},
  number       = {{7}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{Quantum Steering with Imprecise Measurements}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.132.070204}},
  doi          = {{10.1103/PhysRevLett.132.070204}},
  volume       = {{132}},
  year         = {{2024}},
}