Investigating Quantum Entanglement in High-Temperature Superconductors for Novel Technological Applications

1. Introduction 1.1 Background and Motivation 1.2 Objectives of the Study 1.3 Structure of the Thesis 2. Quantum Entanglement Basics 2.1 Definition and Concepts 2.2 Historical Development 2.3 Importance in Physics 3. Overview of High-Temperature Superconductors 3.1 Characteristics and Properties 3.2 Theoretical Models 3.3 Current Challenges 4. Methodologies for Studying Quantum Entanglement 4.1 Experimental Approaches 4.2 Computational Simulations 4.3 Analytical Techniques 5. Entanglement in Superconducting Systems 5.1 Quantum Coherence in Superconductors 5.2 Measurement Techniques 5.3 Case Studies 6. Technological Applications 6.1 Quantum Computing 6.2 Energy Storage Solutions 6.3 Communication Systems 7. Future Prospects and Research Opportunities 7.1 Emerging Technologies 7.2 Interdisciplinary Collaboration 7.3 Unexplored Areas 8. Conclusion 8.1 Summary of Findings 8.2 Implications for Future Studies 8.3 Final Remarks