Enhanced Schmidt-number criteria based on correlation trace norms
(2024) In Physical Review A 110(6).- Abstract
The Schmidt number represents the genuine entanglement dimension of a bipartite quantum state. We derive simple criteria for the Schmidt number of a density matrix in arbitrary local dimensions, given that certain symmetric measurements exist. They are based on the trace norm of correlations obtained from seminal families of quantum measurements, specifically symmetric informationally complete measurements and mutually unbiased bases. Our criteria are strictly stronger than both the well-known fidelity witness criterion and the computable cross-norm or realignment criterion.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4ecd4370-3f4a-42fb-85e7-e031377c73c2
- author
- Tavakoli, Armin LU and Morelli, Simon
- organization
- publishing date
- 2024-12
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review A
- volume
- 110
- issue
- 6
- article number
- 062417
- publisher
- American Physical Society
- external identifiers
-
- scopus:85211974371
- ISSN
- 2469-9926
- DOI
- 10.1103/PhysRevA.110.062417
- language
- English
- LU publication?
- yes
- id
- 4ecd4370-3f4a-42fb-85e7-e031377c73c2
- date added to LUP
- 2025-01-22 11:00:55
- date last changed
- 2025-04-04 14:59:13
@article{4ecd4370-3f4a-42fb-85e7-e031377c73c2,
abstract = {{<p>The Schmidt number represents the genuine entanglement dimension of a bipartite quantum state. We derive simple criteria for the Schmidt number of a density matrix in arbitrary local dimensions, given that certain symmetric measurements exist. They are based on the trace norm of correlations obtained from seminal families of quantum measurements, specifically symmetric informationally complete measurements and mutually unbiased bases. Our criteria are strictly stronger than both the well-known fidelity witness criterion and the computable cross-norm or realignment criterion.</p>}},
author = {{Tavakoli, Armin and Morelli, Simon}},
issn = {{2469-9926}},
language = {{eng}},
number = {{6}},
publisher = {{American Physical Society}},
series = {{Physical Review A}},
title = {{Enhanced Schmidt-number criteria based on correlation trace norms}},
url = {{http://dx.doi.org/10.1103/PhysRevA.110.062417}},
doi = {{10.1103/PhysRevA.110.062417}},
volume = {{110}},
year = {{2024}},
}