Bloch sphere

// quantum gate tutorial · drag to rotate · click gates to apply
|ψ⟩ = cos(θ/2)|0⟩ + eiφ sin(θ/2)|1⟩
|ψ⟩ = 1.00|0⟩ + 0|1⟩
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Current state pure
What just happened
Welcome. The arrow is your qubit's state on the Bloch sphere. North pole is |0⟩, south pole is |1⟩. Click a gate to see how it rotates the state.
State angles θ / φ
θ 0
φ 0
Gate sequence 0 gates
no gates applied yet
Reset to state
Single-qubit gates click to apply