# ⚛️ GHZ Three-Person Synchronized Key Protocol

Generate perfectly correlated random keys using quantum entanglement

### 🔐 The Protocol:

Alice, Bob, and Charlie share GHZ-entangled qubits. Each person independently measures their qubits in either the X or Y basis. Due to GHZ correlations, when they meet and compare their results, they'll find perfect correlations that create a shared secret key that no eavesdropper could predict!

GHZ State Active: |ψ⟩ = 1/√2(|000⟩ + |111⟩)
Entanglement distributed to all three parties
👤
ALICE
Choose measurement basis:
Alice's Secret Key:
Not measured yet
👤
BOB
Choose measurement basis:
Bob's Secret Key:
Not measured yet
👤
CHARLIE
Choose measurement basis:
Charlie's Secret Key:
Not measured yet

### 📋 Instructions:

1. Each person chooses their measurement basis (X or Y)
2. Each person measures their qubits independently
3. When they meet up, they compare their keys
4. The keys will match perfectly due to GHZ correlations!

## 🤝 The Meetup - Compare Keys

All three parties meet in person to compare their independently generated keys