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Entanglement, Quantum Phase Transition and Topological Order
, Ph.D. Dissertation Sharif University of Technology ; Langari, Abdollah (Supervisor)
Abstract
We are interested in the relation between entanglement and quantum phase transitions. We have presented a formulation on how the entanglement of a very large the system is related to the entanglement of a small part of system. The renormalization of entanglement is an indicator of the critical behavior of the models. The framework of our approach is introduced about the Ising model. In particular, we show that derivative of entanglement developes a minimum close to the critical point. We further clarify that this minimum point approaches to the exact critical point of the system as the system becomes thermodynamic. This phenomenon is governed by an exponent that is closely related to the...
Introduction to Categorical Aspects of Topological Quantum Computation
, M.Sc. Thesis Sharif University of Technology ; Karimipour, Vahid (Supervisor)
Abstract
One of the problems facing quantum computation is errors due to interaction with the environment which destroy coherence of quantum states. Most schemes to design a quantum computer therefore focus on finding ways to minimize the interactions of the qubits with the environment. Constructing such systems with large numbers of qubits which are infallible is a hard task and far from being achieved in the near future. There is another quantum computational model which is called topological quantum computation, proposing a different solution. Qubits of this model are quasiparticles of a 2-dimensional topologically ordered system that are called Anyons. In this model gates are nonabelian...
Investigating the Effect of Conditions and Synthetic Methods on the Characteristics Zinc-Based Metal-Organic Framework
, M.Sc. Thesis Sharif University of Technology ; Bagherzadeh, Mojtaba (Supervisor)
Abstract
In this research, the effect of changing the synthesis parameter of the anion with the central metal, the effect of different hydrothermal and reflux synthesis methods, as well as the effect of reaction time on the properties of the Metal-Organic framework (such as morphology, crystallinity, pore size and volume) of ZnPMA (PMA: 1, 2, 4, 5-benzenetetra carboxylic acid) was investigated. for this purpose, firstly the desired Metal-Organic Frameworks were prepared by interacting the 1, 2, 4, 5-benzenetetracarboxylic acid linker with the metal ion Zn2+ obtained from the metal salts Zn(OAC)2, ZnCl2, Zn(NO3)2 and ZnSO4 under reflux and hydrothermal conditions. also to investigate the effect of...