Quantum Teleportation

Transmit an arbitrary qubit state |ψ⟩ = α|0⟩ + β|1⟩ across space using an entangled pair and 2 classical bits — no quantum channel required after entanglement distribution.

θ = 0.30π
φ = 0.50π
Step 0
Prepare |ψ⟩
Alice holds state α|0⟩+β|1⟩
Step 1
Bell Pair
Create EPR pair (|00⟩+|11⟩)/√2
Step 2
CNOT + H
Alice entangles |ψ⟩ with her half
Step 3
Measure
Alice gets 2 classical bits (m₁m₂)
Step 4
Correct
Bob applies X^m₂ Z^m₁ → |ψ⟩