Search
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 nontrivial 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)
-
Kajetan Vogtt
-
Remigiusz Augusiak
Cite as
Full text
download paper
downloaded 54 times
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/physreva.110.012403
- License
- Copyright (2024 American Physical Society)
Keywords
Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
PHYSICAL REVIEW A
no. 110,
ISSN: 2469-9926 - Language:
- English
- Publication year:
- 2024
- Bibliographic description:
- Demianowicz M., Vogtt K., Augusiak R.: Completely entangled subspaces of entanglement depth k// PHYSICAL REVIEW A -,iss. 110 (2024), s.012403-
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/physreva.110.012403
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
seen 60 times
Recommended for you
Simple sufficient condition for subspace to be completely or genuinely entangled
- M. Demianowicz,
- G. Rajchel-Mieldzioć,
- R. Augusiak
2021