Bloch Sphere

Rx, Ry, and Rz apply the rotation angle set in the panel below.

State

0.0°

|ψ⟩

|ψ⟩ = 1.0000|0⟩ + 0.0000|1⟩

0.0°

Gate

90.0°
Alpha1.0000 + 0.0000i
Beta0.0000 + 0.0000i
Theta0.0°
Phi0.0°
P(0)1.0000
P(1)0.0000

Theta 0.00 radians, phi 0.00 radians, probability zero 1.000, probability one 0.000.

Learning mode

Mission briefingBeginner / 6 min

Navigate one qubit

A qubit is a pointer on a sphere: its direction controls the chance of measuring 0 or 1.

Try a |+> state, rotate around Z, and watch probabilities stay fixed while phase changes.

Definitions on demand

Theta

The polar angle controlling movement between the |0> and |1> measurement poles.

Phi

The azimuthal phase angle around the equator; it can change while Z-basis probabilities stay fixed.

Gate

A reversible transformation represented here as a rotation of the qubit state.

X
Z
Y
Target |1>
Target |1> angular error3.142 rad