Curriculum / Quantum Foundations / Bell State Capstone
Lesson 17 of 17ProjectFree+250 XP
Bell State Capstone
Build all four Bell states and verify their properties.
Bell State Capstone
The Four Bell States
There are four maximally entangled two-qubit states, called the Bell basis:
- •Φ+ = (|00⟩ + |11⟩)/√2, H then CNOT
- •Φ- = (|00⟩ - |11⟩)/√2, H, Z, then CNOT
- •Ψ+ = (|01⟩ + |10⟩)/√2, H, X on qubit 1, then CNOT
- •Ψ- = (|01⟩ - |10⟩)/√2, X on both qubits, then H on qubit 0, then CNOT
Your Project
Create the Φ+ Bell state (the one we made before) and verify it produces only |00⟩ and |11⟩. Print the counts and a verification message.
Bonus challenge: Try creating all four Bell states!
How this lesson works
A multi-step project that combines several concepts into one larger build, checked checkpoint by checkpoint as you go.
Part of: Quantum Foundations
Learn the basics: qubits, gates, superposition, and measurement.
Take this lesson free
Create a free account and start this lesson in your browser. No credit card, no installation.