Bloch Sphere
The Bloch sphere provides a powerful visual representation of how single-qubit gates transform quantum states. Each gate corresponds to a geometric rotation or reflection of the state vector on the sphere.
About Felix Bloch
The Bloch sphere is named after physicist Felix Bloch, who made significant contributions to nuclear magnetic resonance and quantum mechanics.
Bloch Sphere
A geometric representation of qubit states in three-dimensional space.
Z
|0⟩
|1⟩
X
|-⟩
|+⟩
Y
|-i⟩
|i⟩
Axis Descriptions:
Z-Axis (Vertical)
North pole: |0⟩ state
South pole: |1⟩ state
X-Axis (Horizontal)
Right: |+⟩ = (|0⟩ + |1⟩)/√2
Left: |-⟩ = (|0⟩ - |1⟩)/√2
Y-Axis (Into/Out of page)
Forward: |i⟩ = (|0⟩ + i|1⟩)/√2
Backward: |-i⟩ = (|0⟩ - i|1⟩)/√2