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Abstract
We introduce a simple sufficient criterion, which allows one to tell whether a subspace of a bipartite or multipartite Hilbert space is entangled. The main ingredient of our criterion is a bound on the minimal entanglement of a subspace in terms of entanglement of vectors spanning that subspace expressed for geometrical measures of entanglement. The criterion is applicable to both completely and genuinely entangled subspaces. We explore its usefulness in several important scenarios. Further, an entanglement criterion for mixed states following directly from the condition is stated. As an auxiliary result we provide a formula for the generalized geometric measure of entanglement of the $d$--level Dicke states.
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Authors (3)
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Grzegorz Rajchel-Mieldzioć
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Remigiusz Augusiak
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1367-2630/ac2a5c
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Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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NEW JOURNAL OF PHYSICS
no. 23,
ISSN: 1367-2630 - Language:
- English
- Publication year:
- 2021
- Bibliographic description:
- Demianowicz M., Rajchel-Mieldzioć G., Augusiak R.: Simple sufficient condition for subspace to be completely or genuinely entangled// NEW JOURNAL OF PHYSICS -Vol. 23, (2021), s.103016-
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1367-2630/ac2a5c
- Verified by:
- Gdańsk University of Technology
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