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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.
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Authors (3)
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Kajetan Vogtt
-
Remigiusz Augusiak
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- 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)
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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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
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