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Detecting the dimensionality of genuine multiparticle entanglement

Cobucci, Gabriele LU orcid and Tavakoli, Armin LU (2024) In Science Advances 10(38).
Abstract

Complex forms of quantum entanglement can arise in two qualitatively different ways: either between many qubits or between two particles with higher-than-qubit dimension. While both the many-qubit frontier and the high-dimension frontier are well established, state-of-the-art quantum technology is becoming increasingly able to create and manipulate entangled states that simultaneously feature many particles and high dimension. Here, we investigate generic states that can be considered both genuinely high-dimensional and genuine multiparticle entangled. We consider a natural quantity that characterizes this key property. To detect it, we develop three different classes of criteria. These enable us both to probe the ultimate noise... (More)

Complex forms of quantum entanglement can arise in two qualitatively different ways: either between many qubits or between two particles with higher-than-qubit dimension. While both the many-qubit frontier and the high-dimension frontier are well established, state-of-the-art quantum technology is becoming increasingly able to create and manipulate entangled states that simultaneously feature many particles and high dimension. Here, we investigate generic states that can be considered both genuinely high-dimensional and genuine multiparticle entangled. We consider a natural quantity that characterizes this key property. To detect it, we develop three different classes of criteria. These enable us both to probe the ultimate noise tolerance of this form of entanglement and to make detection schemes using sparse or even minimal measurement resources. The approach provides a simple way of benchmarking entanglement dimensionality in the multiparticle regime and general, platform-independent, detection methods that readily apply to experimental use.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Science Advances
volume
10
issue
38
article number
eadq4467
publisher
American Association for the Advancement of Science (AAAS)
external identifiers
  • pmid:39303025
  • scopus:85204513078
ISSN
2375-2548
DOI
10.1126/sciadv.adq4467
language
English
LU publication?
yes
id
5711c689-1b19-4bc2-acfe-27469825ee6b
date added to LUP
2024-11-15 12:10:44
date last changed
2024-11-16 03:00:03
@article{5711c689-1b19-4bc2-acfe-27469825ee6b,
  abstract     = {{<p>Complex forms of quantum entanglement can arise in two qualitatively different ways: either between many qubits or between two particles with higher-than-qubit dimension. While both the many-qubit frontier and the high-dimension frontier are well established, state-of-the-art quantum technology is becoming increasingly able to create and manipulate entangled states that simultaneously feature many particles and high dimension. Here, we investigate generic states that can be considered both genuinely high-dimensional and genuine multiparticle entangled. We consider a natural quantity that characterizes this key property. To detect it, we develop three different classes of criteria. These enable us both to probe the ultimate noise tolerance of this form of entanglement and to make detection schemes using sparse or even minimal measurement resources. The approach provides a simple way of benchmarking entanglement dimensionality in the multiparticle regime and general, platform-independent, detection methods that readily apply to experimental use.</p>}},
  author       = {{Cobucci, Gabriele and Tavakoli, Armin}},
  issn         = {{2375-2548}},
  language     = {{eng}},
  number       = {{38}},
  publisher    = {{American Association for the Advancement of Science (AAAS)}},
  series       = {{Science Advances}},
  title        = {{Detecting the dimensionality of genuine multiparticle entanglement}},
  url          = {{http://dx.doi.org/10.1126/sciadv.adq4467}},
  doi          = {{10.1126/sciadv.adq4467}},
  volume       = {{10}},
  year         = {{2024}},
}