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| Author(s): |
Marcio Fernando Cornelio
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 2008-05-27 |
| Examining board members: |
Antonio Fernando Ribeiro de Toledo Piza;
Arnaldo Gammal;
Paulo Alberto Nussenzveig;
Marcos Cesar de Oliveira;
Roberto Menezes Serra
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| Advisor: | Antonio Fernando Ribeiro de Toledo Piza |
| Abstract | |
We study the quantum entanglement of tripartite pure states when one of the parties is a qubit. We present a method to find the decompositions of tripartite entangled states which are simpler than two successive Schmidt decompositions. We will find many distinct families of entangled states with distinct decompositions. These families are classified according to the dimensions of the Jordan blocks of a matrix obtained from the entangled state. Furthermore, we show that states belonging to distinct families can not be converted into each other by stochastic local operations and classical communication (SLOCC). In case of two states belonging to the same family, we nd necessary and su?cient conditions to convert one state to the other. We can also find the SLOCC which realizes this conversion. (AU) | |