The main subject of this thesis is the investigation of the transformations of pure
multipartite entangled states having Schmidt rank 2 by using only local operations
assisted with classical communications (LOCC). A new parameterization is used for
describing the entangled state of p particles distributed to p distant, spatially separated
persons. Product, bipartite and truly multipartite states are identified in this new
parametrization. Moreover, alternative parameterizations of local operations carried
out by each party are provided. For the case of a deterministic transformation to
a truly multipartite final state, one can find an analytic expression that determines
whether such a transformation is possible. In this case, a chain of measurements by
each party for carrying out the transformation is found. It can also be seen that,
under deterministic LOCC transformations, there are some quantities that remain
invariant. For the purpose of applying the results of this thesis in the context of the
quantum information and computation, brief reviews of the entanglement purification,
measurement based quantum computation and quantum codes are given.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/2/12610773/index.pdf |
| Date | 01 July 2008 |
| Creators | Gul, Yusuf |
| Contributors | Pak, Namik Kemal |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | Ph.D. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for METU campus |
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