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https://scholarbank.nus.edu.sg/handle/10635/135828
| Title: | ASPECTS OF POSITIVE LINEAR MAPS AND APPLICATIONS | Authors: | YANG YU | Keywords: | positive linear maps, decomposable maps, quantum entanglement, Schmidt number, positive partial transpose, bi-Schmidt number | Issue Date: | 19-Jan-2017 | Citation: | YANG YU (2017-01-19). ASPECTS OF POSITIVE LINEAR MAPS AND APPLICATIONS. ScholarBank@NUS Repository. | Abstract: | 1. A decomposition theorem for k-positive maps is presented. As a consequence, it verifies a conjecture that every 3x3 positive partial transpose entangled quantum state has Schmidt number 2. 2. A systematical method to construct high dimensional positive partial transpose states with any prescribed Schmidt number is given. | URI: | http://scholarbank.nus.edu.sg/handle/10635/135828 |
| Appears in Collections: | Ph.D Theses (Open) |
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| YangY.pdf | 1.16 MB | Adobe PDF | OPEN | None | View/Download |
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