Completely entangled subspaces of entanglement depth k

Maciej Demianowicz; Kajetan Vogtt; Remigiusz Augusiak

doi:10.1103/physreva.110.012403

Completely entangled subspaces of entanglement depth k

Abstract

We introduce a class of entangled subspaces: completely entangled subspaces of entanglement depth k (k-CESs). These are subspaces of multipartite Hilbert spaces containing only pure states with an entanglement depth of at least k. We present an efficient construction of k-CESs of any achievable dimensionality in any multipartite scenario. Further, we discuss the relation between these subspaces and unextendible product bases (UPBs). In particular, we establish that there is a non-trivial bound on the cardinality of a UPB whose orthocomplement is a k-CES. Further, we discuss the existence of such UPBs for qubit systems.

Citations

0

CrossRef
0

Web of Science
0

Scopus

Authors (3)

Maciej Demianowicz dr hab. inż.
Kajetan Vogtt
Remigiusz Augusiak dr hab. inż.
- CFT PAN

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

Details

Category:: Magazine publication
Type:: Magazine publication
Published in:: PHYSICAL REVIEW A no. 110,
ISSN: 2469-9926
ISSN:: 2469-9926
Publication year:: 2024
DOI:: Digital Object Identifier (open in new tab) 10.1103/physreva.110.012403
Verified by:: No verification