Universität zu Köln

Raissi, Zahra, Teixido, Adam, Gogolin, Christian and Acin, Antonio ORCID: 0000-0002-1355-3435 (2020). Constructions of k-uniform and absolutely maximally entangled states beyond maximum distance codes. Phys. Rev. Res., 2 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2643-1564

Full text not available from this repository.

Abstract

Pure multipartite quantum states of n parties and local dimension q are called k-uniform if all reductions to k parties are maximally mixed. These states are relevant for our understanding of multipartite entanglement, quantum information protocols, and the construction of quantum error correction codes. To our knowledge, the only known systematic construction of these quantum states is based on classical error correction codes. We present a systematic method to construct other examples of k-uniform states and show that the states derived through our construction are not equivalent to any k-uniform state constructed from the so-called maximum distance separable error correction codes. Furthermore, we use our method to construct several examples of absolutely maximally entangled states whose existence was open so far.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Raissi, Zahra UNSPECIFIED UNSPECIFIED UNSPECIFIED Teixido, Adam UNSPECIFIED UNSPECIFIED UNSPECIFIED Gogolin, Christian UNSPECIFIED UNSPECIFIED UNSPECIFIED Acin, Antonio UNSPECIFIED orcid.org/0000-0002-1355-3435 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-319031
DOI:	10.1103/PhysRevResearch.2.033411
Journal or Publication Title:	Phys. Rev. Res.
Volume:	2
Number:	3
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2643-1564
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/31903