Resource-Efficient High-Dimensional Entanglement Detection via Symmetric Projections
(2023) In Physical Review Letters 131(17).- Abstract
We introduce two families of criteria for detecting and quantifying the entanglement of a bipartite quantum state of arbitrary local dimension. The first is based on measurements in mutually unbiased bases and the second is based on equiangular measurements. Both criteria give a qualitative result in terms of the state's entanglement dimension and a quantitative result in terms of its fidelity with the maximally entangled state. The criteria are universally applicable since no assumptions on the state are required. Moreover, the experimenter can control the trade-off between resource-efficiency and noise-tolerance by selecting the number of measurements performed. For paradigmatic noise models, we show that only a small number of... (More)
We introduce two families of criteria for detecting and quantifying the entanglement of a bipartite quantum state of arbitrary local dimension. The first is based on measurements in mutually unbiased bases and the second is based on equiangular measurements. Both criteria give a qualitative result in terms of the state's entanglement dimension and a quantitative result in terms of its fidelity with the maximally entangled state. The criteria are universally applicable since no assumptions on the state are required. Moreover, the experimenter can control the trade-off between resource-efficiency and noise-tolerance by selecting the number of measurements performed. For paradigmatic noise models, we show that only a small number of measurements are necessary to achieve nearly-optimal detection in any dimension. The number of global product projections scales only linearly in the local dimension, thus paving the way for detection and quantification of very high-dimensional entanglement.
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- author
- Morelli, Simon ; Huber, Marcus and Tavakoli, Armin LU
- organization
- publishing date
- 2023-10
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review Letters
- volume
- 131
- issue
- 17
- article number
- 170201
- publisher
- American Physical Society
- external identifiers
-
- scopus:85175402705
- pmid:37955500
- ISSN
- 0031-9007
- DOI
- 10.1103/PhysRevLett.131.170201
- language
- English
- LU publication?
- yes
- id
- 0e113d86-e1d0-4058-9f84-54200374b03a
- date added to LUP
- 2024-01-12 13:46:24
- date last changed
- 2024-06-22 14:04:40
@article{0e113d86-e1d0-4058-9f84-54200374b03a,
abstract = {{<p>We introduce two families of criteria for detecting and quantifying the entanglement of a bipartite quantum state of arbitrary local dimension. The first is based on measurements in mutually unbiased bases and the second is based on equiangular measurements. Both criteria give a qualitative result in terms of the state's entanglement dimension and a quantitative result in terms of its fidelity with the maximally entangled state. The criteria are universally applicable since no assumptions on the state are required. Moreover, the experimenter can control the trade-off between resource-efficiency and noise-tolerance by selecting the number of measurements performed. For paradigmatic noise models, we show that only a small number of measurements are necessary to achieve nearly-optimal detection in any dimension. The number of global product projections scales only linearly in the local dimension, thus paving the way for detection and quantification of very high-dimensional entanglement.</p>}},
author = {{Morelli, Simon and Huber, Marcus and Tavakoli, Armin}},
issn = {{0031-9007}},
language = {{eng}},
number = {{17}},
publisher = {{American Physical Society}},
series = {{Physical Review Letters}},
title = {{Resource-Efficient High-Dimensional Entanglement Detection via Symmetric Projections}},
url = {{http://dx.doi.org/10.1103/PhysRevLett.131.170201}},
doi = {{10.1103/PhysRevLett.131.170201}},
volume = {{131}},
year = {{2023}},
}