Wehrl entropy, entropic uncertainty relations and entanglement.
2021
The Wehrl entropy is an entropy associated to the Husimi quasi-probability distribution. We discuss how it can be used to formulate entropic uncertainty relations and for a quantification of entanglement in continuous variables. We show that the Wehrl-Lieb inequality is tighter than the usual Bia{\l}ynicki-Birula and Mycielski entropic uncertainty relation almost everywhere. Furthermore, we show how a Wehrl mutual information can be used to obtain a measurable perfect witness for pure state bipartite entanglement, which additionally provides a lower bound on the entanglement entropy.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
80
References
1
Citations
NaN
KQI