Entanglement transformations and quantum error correction

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2009

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Gül, Yusuf

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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.

Subject Keywords

Physics., Quantum computers.

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http://etd.lib.metu.edu.tr/upload/2/12610773/index.pdf
https://hdl.handle.net/11511/18982

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

Y. Gül, “Entanglement transformations and quantum error correction,” Ph.D. - Doctoral Program, Middle East Technical University, 2009.