toqito.states.bb84¶

BB84 states represent the BB84 basis states, which are based on BB84, a quantum key distribution scheme.

In the BB884 scheme, each qubit is encoded with one of the 4 polarization states: 0, 1, +45° or -45°.

Module Contents¶

toqito.states.bb84.bb84()[source]¶

Obtain the BB84 basis states [@WikiBB84].

The BB84 basis states are defined as

[: |0rangle := begin{pmatrix} 1 \ 0 end{pmatrix}, quad \ |1rangle := begin{pmatrix} 0 \ 1 end{pmatrix}, quad \ |+rangle := frac{1}{sqrt{2}} begin{pmatrix} 1 \ 1 end{pmatrix}, quad \ |-rangle := frac{1}{sqrt{2}} begin{pmatrix} 1 \ -1 end{pmatrix}.

]

Examples

The BB84 basis states can be obtained in |toqito⟩ as follows in the form of a list of arrays.

`python exec="1" source="above" from toqito.states import bb84 print(bb84()) `