Special features of the Weyl-Heisenberg Bell basis imply unusual entanglement structure of Bell-diagonal states

Autor(en)

Christopher Popp, Beatrix C. Hiesmayr

Abstrakt

Bell states are of crucial importance for entanglement based methods in quantum information science. Typically, a standard construction of a complete orthonormal Bell-basis by Weyl-Heisenberg operators is considered. We show that the group structure of these operators has strong implication on error correction schemes and on the entanglement structure within Bell-diagonal states. In particular, it implies an equivalence between a Pauli channel and a twirl channel. Interestingly, other complete orthonormal Bell-bases do break the equivalence and lead to a completely different entanglement structure, for instance in the share of positive partial transposition (PPT)-entangled states. In detail, we find that the standard Bell basis has the highest observed share on PPT-states and PPT-entangled states compared to other Bell bases. In summary, our findings show that the standard Bell basis construction exploits a very special structure with strong implications to quantum information theoretic protocols if a deviation is considered.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Journal

New Journal of Physics

Band

26

Anzahl der Seiten

13

ISSN

1367-2630

DOI

https://doi.org/10.48550/arXiv.2307.10727

Publikationsdatum

01-2024

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/e1165671-0b50-4aef-8940-b6b88f4a001a