Bloch Sphere
−
Photon Polarization
−
Light mode
Qubit Visualizer
Drag to rotate · Scroll to zoom
deg
rad (×π)
Parameters
θ
theta
90.0°
|α| = cos(θ/2) · |β| = sin(θ/2)
φ
phi
0.0°
Phase of β relative to α
Rotation Matrices
R
y
(
90.0°
)
cos(45.0°)
−sin(45.0°)
sin(45.0°)
cos(45.0°)
=
0.707
-0.707
0.707
0.707
P(
0.0°
)
1
0
0
e
+i·0.0°
=
1
0
0
1.000
P · R
y
=
0.707
-0.707
0.707
0.707
Legend
α = cos(θ/2) (real, +x axis)
β = sin(θ/2) · e
iφ
Bloch state |ψ⟩
Quantum State
|ψ⟩ =
0.707
|0⟩
+ e
i·
0.0°
0.707
|1⟩
Bloch: (
0.000
,
0.000
,
0.000
)
Linear (45°)
Photon Display
Field arrows
Wave curve
Components
Animate