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Ever wondered how quantum cryptography actually turns noisy measurements into unbreakable keys? This deep dive explains the complete mathematical engine behind BB84's post-processing pipeline. We break down error correction using parity checks and binary search, show you step-by-step how Alice and Bob fix mismatched bits without revealing any values, and explain why privacy amplification is the critical step that destroys Eve's knowledge through hash compression. 🔬 What You'll Learn: Why raw quantum keys are completely useless (1-5% errors + Eve's knowledge) XOR mathematics and parity functions Binary search error localization (log₂ efficiency) Complete 7-bit error correction example with calculations Min-entropy and the Leftover Hash Lemma How Toeplitz hash functions compress keys securely Why QBER greater than 11% makes secure key extraction impossible The complete 6-step BB84 security pipeline Perfect for computer science students, cybersecurity professionals, and anyone serious about understanding quantum security at a mathematical level. No handwaving. No oversimplification. Just pure technical depth. 📑 TIMESTAMPS: 00:00 - Introduction 01:05 - Why Raw Quantum Keys Are Useless 04:51 - Sources of Quantum Errors 07:09 - Error Correction: The Parity Method 10:18 - Binary Search for Errors 15:42 - Concrete Example: 7-Bit Error Hunt 20:26 - Why Error Correction Isn't Enough 24:23 - Privacy Amplification Concept 29:58 - The Mathematics of Security 36:57 - The Complete Security Pipeline 42:54 - Key Takeaways & Conclusion 🔔 Subscribe for weekly quantum security deep dives 💬 Drop questions in comments - we read everything #QuantumCryptography #BB84 #QKD #CyberSecurity #QuantumComputing #Cryptography #InfoSec #QuantumPhysics #SecurityEngineering #ComputerScience