Gate package

Module contents

Contains all the standard gates that can be used in the circuit. These include:

HGate
XGate
ZGate
IGate

gate module

Gate class

class qclight.gate.gate.Gate[source]

Bases: object

Gates are the basic building blocks of quantum circuits. They are used to manipulate the state of a quantum system and compute functions.

I = array([[1, 0], [0, 1]])

property matrix: ndarray

Matrix representation of the gate.

Return type: ndarray

matrix_of_size(size, idx=None)[source]

Returns the matrix representation of the gate in a matrix of size n x n, using the tensor product.

If idx is None, the matrix is multiplied by itself. If idx is provided, the matrix is multiplied by the identity matrix in all the positions except for idx, where the matrix is multiplied by itself.

Parameters

size (int) – size of the matrix
idx (Union[int, list[int], None], default: None) – index of the matrix in the tensor product

Returns

ndarray – matrix representation of the gate in a matrix of size n x n

tp(gates)[source]

Calculates the tensor product between all the gates in the list.

Parameters: gates (list[ndarray]) – list of gates to be multiplied
Raises: ValueError – the list of gates is empty
Returns: ndarray – the tensor product of all the gates in the list

h_gate module

HGate class

class qclight.gate.h_gate.HGate[source]

Bases: Gate

Hadamard gate. It rotates a qubit and puts it in a state of superpositions.

\[\begin{split}H = \frac{1}{\sqrt{2}} \begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix}\end{split}\]

H: ndarray[Any, dtype[float64]] = array([[ 0.70710678, 0.70710678], [ 0.70710678, -0.70710678]])

property matrix: ndarray[Any, dtype[float64]]

Matrix representation of the gate.

Return type: ndarray[Any, dtype[float64]]

i_gate module

IGate class

class qclight.gate.i_gate.IGate[source]

Bases: Gate

Identity gate. It does not change the state of a qubit.

\[\begin{split}I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\end{split}\]

property matrix: ndarray[Any, dtype[float64]]

Matrix representation of the gate.

Return type: ndarray[Any, dtype[float64]]

x_gate module

XGate class

class qclight.gate.x_gate.XGate[source]

Bases: Gate

Negation gate. It negates the state of a qubit.

\[\begin{split}X = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\end{split}\]

X: ndarray[Any, dtype[float64]] = array([[0, 1], [1, 0]])

property matrix: ndarray[Any, dtype[float64]]

Matrix representation of the gate.

Return type: ndarray[Any, dtype[float64]]

z_gate module

ZGate class

class qclight.gate.z_gate.ZGate[source]

Bases: Gate

Z gate. It rotates a qubit by \(\pi\) radians around the z-axis.

\[\begin{split}Z = \begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix}\end{split}\]

Z: ndarray[Any, dtype[float64]] = array([[ 1, 0], [ 0, -1]])

property matrix: ndarray[Any, dtype[float64]]

Matrix representation of the gate.

Return type: ndarray[Any, dtype[float64]]