Wehrl entropy, entropic uncertainty relations, and entanglement
Wehrl entropy is an entropy associated with the Husimi quasiprobability 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 closer to equality than the usua...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
28 June 2021
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| In: |
Physical review
Year: 2021, Volume: 103, Issue: 6, Pages: 1-13 |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.103.062222 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.103.062222 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.103.062222 
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| Author Notes: | Stefan Floerchinger, Tobias Haas, and Henrik Müller-Groeling |
| Summary: | Wehrl entropy is an entropy associated with the Husimi quasiprobability 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 closer to equality than the usual Białynicki-Birula-Mycielski entropic uncertainty relation almost everywhere. Furthermore, we show how 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. |
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| Item Description: | Gesehen am 10.07.2021 |
| Physical Description: | Online Resource |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.103.062222 |