A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces
A new quantum f-divergence for trace class operators in Hilbert Spaces is introduced. It is shown that for normalised convex functions it is nonnegative. Some upper bounds are provided. Applications for some classes of convex functions of interest are also given.
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| Format: | Article |
| Language: | English |
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MDPI AG
2014-11-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/16/11/5853 |
| _version_ | 1798026774108438528 |
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| author | Silvestru Sever Dragomir |
| author_facet | Silvestru Sever Dragomir |
| author_sort | Silvestru Sever Dragomir |
| collection | DOAJ |
| description | A new quantum f-divergence for trace class operators in Hilbert Spaces is introduced. It is shown that for normalised convex functions it is nonnegative. Some upper bounds are provided. Applications for some classes of convex functions of interest are also given. |
| first_indexed | 2024-04-11T18:40:43Z |
| format | Article |
| id | doaj.art-7c0fa3d510ff4111873e612e806ed494 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T18:40:43Z |
| publishDate | 2014-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-7c0fa3d510ff4111873e612e806ed4942022-12-22T04:08:58ZengMDPI AGEntropy1099-43002014-11-0116115853587510.3390/e16115853e16115853A New Quantum f-Divergence for Trace Class Operators in Hilbert SpacesSilvestru Sever Dragomir0Mathematics, School of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, AustraliaA new quantum f-divergence for trace class operators in Hilbert Spaces is introduced. It is shown that for normalised convex functions it is nonnegative. Some upper bounds are provided. Applications for some classes of convex functions of interest are also given.http://www.mdpi.com/1099-4300/16/11/5853self-adjoint bounded linear operatorsfunctions of operatorstrace of operatorsquantum divergence |
| spellingShingle | Silvestru Sever Dragomir A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces Entropy self-adjoint bounded linear operators functions of operators trace of operators quantum divergence |
| title | A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces |
| title_full | A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces |
| title_fullStr | A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces |
| title_full_unstemmed | A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces |
| title_short | A New Quantum f-Divergence for Trace Class Operators in Hilbert Spaces |
| title_sort | new quantum f divergence for trace class operators in hilbert spaces |
| topic | self-adjoint bounded linear operators functions of operators trace of operators quantum divergence |
| url | http://www.mdpi.com/1099-4300/16/11/5853 |
| work_keys_str_mv | AT silvestruseverdragomir anewquantumfdivergencefortraceclassoperatorsinhilbertspaces AT silvestruseverdragomir newquantumfdivergencefortraceclassoperatorsinhilbertspaces |