A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist

Autor(en)

Dariusz Chruściński, Anindita Bera, Joonwoo Bae, Beatrix C. Hiesmayr

Abstrakt

Two approaches can be utilized to handle the separability problem, finding out whether a given bipartite qudit state is separable or not: a direct procedure on the state space or the effective tool of entanglement witnesses (EWs). This contribution studies the structure of EWs. Exploiting the very concept of mirrored EWs, increasing the detection power, we show, in contrast to the conjecture in a recent paper (Bera et al. in Sci Rep 13:10733, 2023), there exist pairs of optimal EWs, which are both non-decomposible, i.e. can detect bound/PPT-entangled states in an optimal way. Since we show that the structure also extends to higher dimensions, our results reveal a further structure of entanglement witnesses.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Nicolaus Copernicus University, Birla Institute of Technology, Korea Advanced Institute of Science and Technology (KAIST)

Journal

Scientific Reports

Band

15

Anzahl der Seiten

12

ISSN

2045-2322

DOI

https://doi.org/10.48550/arXiv.2503.04158

Publikationsdatum

08-2025

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103019 Mathematische Physik

ASJC Scopus Sachgebiete

General

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/6dd7cb62-58f5-45d5-8bfb-da8bbd4059c8