states.bb84
BB84 basis states.
Module Contents
Functions
|
Obtain the BB84 basis states [1]. |
- states.bb84.bb84()
Obtain the BB84 basis states [1].
The BB84 basis states are defined as
\[\begin{split}|0\rangle := \begin{pmatrix} 1 \\ 0 \end{pmatrix}, \quad \\ |1\rangle := \begin{pmatrix} 0 \\ 1 \end{pmatrix}, \quad \\ |+\rangle := \frac{1}{\sqrt{2}} \begin{pmatrix} 1 \\ 1 \end{pmatrix}, \quad \\ |-\rangle := \frac{1}{\sqrt{2}} \begin{pmatrix} 1 \\ -1 \end{pmatrix}.\end{split}\]Examples
The BB84 basis states can be obtained in
toqito
as follows.>>> from toqito.states import bb84 >>> x = bb84() >>> print(f"|0> = {x[0][0].T}, \n |1> = {x[0][1].T}") >>> print(f"|+> = {x[1][0].T}, \n |-> = {x[1][1].T}") |0> = [[1. 0.]], |1> = [[0. 1.]] |+> = [[0.70710678 0.70710678]], |-> = [[ 0.70710678 -0.70710678]]
References
- Returns:
The four BB84 basis states.
- Return type:
numpy.ndarray