<p>1. Introduction<br> 1.1 Challenges in quantum computing error correction<br> 1.2 Importance of fault-tolerant quantum computation<br> 1.3 Objectives of the project<br>2. Literature Review<br> 2.1 Quantum error correction codes<br> 2.2 Fault-tolerant quantum gates<br> 2.3 Quantum error correction in practical systems<br>3. Quantum Error Correction Principles<br> 3.1 Quantum error correction codes and syndromes<br> 3.2 Error detection and error correction operations<br>4. Fault-tolerant Quantum Gates<br> 4.1 Error-correcting quantum gates<br> 4.2 Fault-tolerant quantum circuit design<br>5. Quantum Error Correction Implementations<br> 5.1 Error correction in physical quantum systems<br> 5.2 Error mitigation techniques<br></p>
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