Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States
A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in terms...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-05-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/23/5/625 |
| _version_ | 1797533686528212992 |
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| author | Katarzyna Siudzińska Sagnik Chakraborty Dariusz Chruściński |
| author_facet | Katarzyna Siudzińska Sagnik Chakraborty Dariusz Chruściński |
| author_sort | Katarzyna Siudzińska |
| collection | DOAJ |
| description | A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in terms of the Schmidt number. The analysis is illustrated with examples of qubit maps. |
| first_indexed | 2024-03-10T11:19:10Z |
| format | Article |
| id | doaj.art-8124499379e745ea92da39c2b5f70d53 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T11:19:10Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-8124499379e745ea92da39c2b5f70d532023-11-21T20:10:48ZengMDPI AGEntropy1099-43002021-05-0123562510.3390/e23050625Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled StatesKatarzyna Siudzińska0Sagnik Chakraborty1Dariusz Chruściński2Faculty of Physics, Astronomy and Informatics, Institute of Physics, Nicolaus Copernicus University, ul. Grudziądzka 5/7, 87-100 Toruń, PolandFaculty of Physics, Astronomy and Informatics, Institute of Physics, Nicolaus Copernicus University, ul. Grudziądzka 5/7, 87-100 Toruń, PolandFaculty of Physics, Astronomy and Informatics, Institute of Physics, Nicolaus Copernicus University, ul. Grudziądzka 5/7, 87-100 Toruń, PolandA new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in terms of the Schmidt number. The analysis is illustrated with examples of qubit maps.https://www.mdpi.com/1099-4300/23/5/625qubit mapscontractivitySchwarz inequalitypositive mapsSchmidt number |
| spellingShingle | Katarzyna Siudzińska Sagnik Chakraborty Dariusz Chruściński Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States Entropy qubit maps contractivity Schwarz inequality positive maps Schmidt number |
| title | Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States |
| title_full | Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States |
| title_fullStr | Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States |
| title_full_unstemmed | Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States |
| title_short | Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States |
| title_sort | interpolating between positive and completely positive maps a new hierarchy of entangled states |
| topic | qubit maps contractivity Schwarz inequality positive maps Schmidt number |
| url | https://www.mdpi.com/1099-4300/23/5/625 |
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