001. Theses

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Browsing 001. Theses by Subject "1/Z method"

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    The correlation expansion method used in quantum computation
    (Nazarbayev University School of Science and Technology, 2017-04) Baitenov, Adil
    In this master thesis, 3 methods of solving of Quantum Ising model have been outlined and compared, they include ABC. We investigate the entanglement dynamics and find energy and spin values for 1-dimensional Quantum Ising chain and 2 and 3-dimensional Quantum Ising models. System starts in a paramagnetic regime and switches to ferromagnetic spin-spin coupling constant J. In this work, we consider instantaneous (step function) switch, which demonstrates the instantaneous switch from paramagnetic to ferromagnetic state. Solution of the system is made by quantum simulation using Microsofts’ Corporations computational simulator called The Language-Integrated Quantum Operations (LIQUi|>) Simulator, 1/Z expansion method and Exact Diagonalization method. Accuracy and precision of results of first two methods are compared with Exact Diagonalization that provides the exact solution of the system. With that it can be seen to what extent 1/Z expansion method is applicable for solving of Quantum Ising model.