Made with ❤️ by Anton Vasetenkov
Bloch Sphere
May 14, 2022

Bloch Sphere

Visualize qubits on a Bloch sphere.

For a one-qubit system, a general pure state can be written as a linear combination of and :

where and . When interpreted as the polar and azimuthal angles in spherical polar coordinates, the angles and uniquely identify a point on a unit sphere called the Bloch sphere. With the one-to-one correspondence between the points on the Bloch sphere and the pure state space of a one-qubit system, the Bloch sphere can be used to visualize any pure state of a one-qubit system.

Bloch Sphere provides an interactive way to visualize the pure one-qubit states on the Bloch sphere by manipulating the and angles as well as pseudo-rotating the sphere by clicking/touching and dragging.

See also
On the nature of the wave function
The wave function is an abstract mathematical concept and cannot be "measured" directly. So what is it then?
Dirac notation for quantum states
How to read the bra–ket notation?
The Hadamard gate
The definition of the Hadamard gate and some of its properties.