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العنوان
A study of some quantum statistical mechanics models and their applications in quantum information theory /
المؤلف
Ibrahim, Tamer Abdallah Seoudy.
هيئة الاعداد
باحث / تامر عبدالله سعودي إبراهيم
مشرف / نادي حجازي عبدالوهاب
مشرف / مجدي إسماعيل أمين
الموضوع
Quantum theory. Information measurement.
تاريخ النشر
2024.
عدد الصفحات
138 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات
تاريخ الإجازة
2/7/2024
مكان الإجازة
جامعة المنيا - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

This thesis aims to explore the impact of noise on quantum coherence and entanglement in quantum information systems, specifically involving qubits and qutrits interacting with a single-mode cavity field. The study focuses on analyzing the dynamic behavior of pairs of atomic qubits inter- acting with a single-photon cavity field and subjected to dipole-dipole interaction (DDI) in the presence of intrinsic decoherence (ID). It evaluates how DDI influences the degree of entanglement and correlations between atom-field and atom-atom systems using var- ious measures such as von Neumann entropy, concurrence, geometric quantum discord (GQD) and quantum Fisher information (QFI). Additionally, the investigation studies the effects of Ising interaction, DDI and number of photons on the generation of quantum correlations, including dense coding capacity (DCC), measurement-induced non-locality (MIN) and concurrence, in different initial states when these two qubits exposed to a n- photon cavity field. Furthermore, a general formalism for this atomic system considering various parameters such as intensity-dependent coupling regime, atom-atom interactions, dipole-dipole interactions, and Kerr-like medium, and examines their impact on entan- glement preservation in the absence of ID. The thesis also extends its analysis to study the tripartite entropic uncertainty bounds (TUB) and the residual entanglement in a three- qubit XXZ Heisenberg chain coupled to Dzyaloshinskii-Moriya interaction (DMI) and subjected to a magnetic field, considering different initial states. Finally, to delve into these quantum measures, the dynamics of von Neumann entropy, concurrence, GQD and QFI are investigated. The density matrix of the Schrodinger equa- tion, for a system consists of a qubit interact with a qurtit and are immersed in an inhomo- geneous magnetic field when its initial state depends on the thermal state, is obtained. In addition, the impact of the magnetic fields on these measurements is discussed. Overall, this study provides insights into the behavior of quantum information systems under noise conditions, shedding light on the dynamics of quantum coherence and entanglement.