Video 1: BB84 Error Correction & Privacy Amplification | Deep Mathematical Breakdown

Описание: 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