Introduction

Quantum computing has emerged as a promising technology with the potential to revolutionize various fields such as cryptography, drug discovery, and optimization. However, quantum computers are highly susceptible to errors due to their sensitivity to external disturbances and noise. Quantum error mitigation techniques aim to address these challenges by minimizing the impact of errors and improving the overall performance of quantum algorithms.

Chapter 1: Introduction
1.1 Introduction
1.2 Background of study
1.3 Problem Statement
1.4 Objective of study
1.5 Limitation of study
1.6 Scope of study
1.7 Significance of study
1.8 Structure of the Thesis
1.9 Definition of Terms

Chapter 2: Literature Review
2.1 Overview of Quantum Computing
2.2 Quantum Error Correction Codes
2.3 Quantum Error Mitigation Techniques
2.4 Error Models in Quantum Computing
2.5 State-of-the-Art Error Mitigation Strategies
2.6 Benchmarking Quantum Error Correction Techniques
2.7 Machine Learning Approaches to Error Mitigation
2.8 Quantum Error Detection Techniques
2.9 Quantum Error Suppression Techniques
2.10 Limitations and Challenges in Quantum Error Mitigation

Chapter 3: System Design and Methodology
3.1 Error Detection and Correction Algorithms
3.2 Noise Characterization and Modeling
3.3 Quantum Error Amplification Techniques
3.4 Quantum Error Avoidance Strategies
3.5 Quantum Error Resilience Testing
3.6 Error Mitigation Benchmarking
3.7 Quantum Error Rate Estimation
3.8 Simulation Tools for Error Mitigation

Chapter 4: System Implementation
4.1 Error Mitigation Framework Development
4.2 Quantum Circuit Optimization Techniques
4.3 Error Correction Code Implementation
4.4 Integration of Error Mitigation Strategies
4.5 Performance Evaluation and Analysis
4.6 Real-World Quantum Error Mitigation Applications
4.7 Hardware Implementation of Error Mitigation Techniques
4.8 Software Tools for Quantum Error Mitigation

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Contributions to the Field
5.3 Future Research Directions
5.4 Conclusion

Thesis Overview on Quantum Error Mitigation Techniques

Quantum error mitigation techniques play a crucial role in ensuring the reliability and scalability of quantum computers. This thesis aims to provide a comprehensive overview of the current state-of-the-art in quantum error mitigation strategies. The introduction chapter outlines the background, problem statement, objectives, limitations, scope, significance, structure of the thesis, and definition of terms related to quantum error mitigation. The literature review chapter covers key concepts such as quantum computing, error correction codes, error mitigation techniques, error models, benchmarking strategies, machine learning approaches, error detection, and suppression techniques.

The system design and methodology chapter delve into the details of error detection and correction algorithms, noise characterization, error amplification, avoidance, resilience testing, benchmarking, and rate estimation. The system implementation chapter focuses on the practical implementation of error mitigation frameworks, quantum circuit optimization, error correction code implementation, performance evaluation, real-world applications, and hardware/software tools for error mitigation. The conclusion chapter summarizes the findings, contributions, future research directions, and overall conclusions drawn from the study on quantum error mitigation techniques.

Overall, this thesis aims to provide insights into the challenges, opportunities, and trends in quantum error mitigation, contributing to the advancement of quantum computing technology.

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