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Semidefinite Relaxations for High-Dimensional Entanglement in the Steering Scenario

D'Alessandro, Nicola LU orcid ; Carceller, Carles Roch i LU orcid and Tavakoli, Armin LU (2025) In Phys. Rev. Lett. 134(9).
Abstract
We introduce semidefinite programming hierarchies for benchmarking relevant entanglement properties in the high-dimensional steering scenario. Firstly, we provide a general method for detecting the entanglement dimensionality through certification of the Schmidt number. Its key feature is that the computational cost is independent of the Schmidt number under consideration. Secondly, we provide a method to estimate the fidelity of the source with any maximally entangled state. Using only basic computational means, we demonstrate the usefulness of these methods, which can be directly used to analyze experiments on high-dimensional systems.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Phys. Rev. Lett.
volume
134
issue
9
article number
090802
publisher
American Physical Society
external identifiers
  • pmid:40131050
  • scopus:86000276680
DOI
10.1103/PhysRevLett.134.090802
language
English
LU publication?
yes
id
6f1e6ae0-0cec-4c42-a287-25c55efc2f57
date added to LUP
2025-05-19 17:10:50
date last changed
2025-05-23 08:51:21
@article{6f1e6ae0-0cec-4c42-a287-25c55efc2f57,
  abstract     = {{We introduce semidefinite programming hierarchies for benchmarking relevant entanglement properties in the high-dimensional steering scenario. Firstly, we provide a general method for detecting the entanglement dimensionality through certification of the Schmidt number. Its key feature is that the computational cost is independent of the Schmidt number under consideration. Secondly, we provide a method to estimate the fidelity of the source with any maximally entangled state. Using only basic computational means, we demonstrate the usefulness of these methods, which can be directly used to analyze experiments on high-dimensional systems.}},
  author       = {{D'Alessandro, Nicola and Carceller, Carles Roch i and Tavakoli, Armin}},
  language     = {{eng}},
  month        = {{03}},
  number       = {{9}},
  publisher    = {{American Physical Society}},
  series       = {{Phys. Rev. Lett.}},
  title        = {{Semidefinite Relaxations for High-Dimensional Entanglement in the Steering Scenario}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.134.090802}},
  doi          = {{10.1103/PhysRevLett.134.090802}},
  volume       = {{134}},
  year         = {{2025}},
}