paddle_quantum.gate.single_qubit_gate

The source file of the classes for single-qubit gates.

class paddle_quantum.gate.single_qubit_gate.H(qubits_idx=None, num_qubits=None, depth=1)

Bases: Gate

A collection of single-qubit Hadamard gates.

The matrix form of such a gate is:

$$\begin{array}{r}H=\frac{1}{\sqrt{2}}\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

class paddle_quantum.gate.single_qubit_gate.S(qubits_idx=None, num_qubits=None, depth=1)

Bases: Gate

A collection of single-qubit S gates.

The matrix form of such a gate is:

$$\begin{array}{r}S=\left[\begin{array}{cc}1& 0\\ 0& i\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

class paddle_quantum.gate.single_qubit_gate.Sdg(qubits_idx=None, num_qubits=None, depth=1)

Bases: Gate

A collection of single-qubit S dagger (S inverse) gates.

The matrix form of such a gate is:

$$\begin{array}{r}{S}^{†}=\left[\begin{array}{cc}1& 0\\ 0& -i\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

class paddle_quantum.gate.single_qubit_gate.T(qubits_idx=None, num_qubits=None, depth=1)

Bases: Gate

A collection of single-qubit T gates.

The matrix form of such a gate is:

$$\begin{array}{r}T=\left[\begin{array}{cc}1& 0\\ 0& e^{\frac{i\pi }{4}}\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

class paddle_quantum.gate.single_qubit_gate.Tdg(qubits_idx=None, num_qubits=None, depth=1)

Bases: Gate

A collection of single-qubit T dagger (T inverse) gates.

The matrix form of such a gate is:

$$\begin{array}{r}{T}^{†}=\left[\begin{array}{cc}1& 0\\ 0& e^{-\frac{i\pi }{4}}\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

class paddle_quantum.gate.single_qubit_gate.X(qubits_idx=None, num_qubits=None, depth=1)

Bases: Gate

A collection of single-qubit X gates.

The matrix form of such a gate is:

$$\begin{array}{r}\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

class paddle_quantum.gate.single_qubit_gate.Y(qubits_idx=None, num_qubits=None, depth=1)

Bases: Gate

A collection of single-qubit Y gates.

The matrix form of such a gate is:

$$\begin{array}{r}\left[\begin{array}{cc}0& -i\\ i& 0\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

class paddle_quantum.gate.single_qubit_gate.Z(qubits_idx=None, num_qubits=None, depth=1)

Bases: Gate

A collection of single-qubit Z gates.

The matrix form of such a gate is:

$$\begin{array}{r}\left[\begin{array}{cc}1& 0\\ 0& -1\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

class paddle_quantum.gate.single_qubit_gate.P(qubits_idx=None, num_qubits=None, depth=1, param=None, param_sharing=False)

Bases: ParamGate

A collection of single-qubit P gates.

The matrix form of such a gate is:

$$\begin{array}{r}\left[\begin{array}{cc}1& 0\\ 0& e^{i\theta }\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

• param (Tensor | float | None) – Parameters of the gates. Defaults to None.

• param_sharing (bool | None) – Whether gates in the same layer share a parameter. Defaults to False.

Raises:

ValueError – The param must be paddle.Tensor or float.

class paddle_quantum.gate.single_qubit_gate.RX(qubits_idx=None, num_qubits=None, depth=1, param=None, param_sharing=False)

Bases: ParamGate

A collection of single-qubit rotation gates about the x-axis.

The matrix form of such a gate is:

$$\begin{array}{r}\left[\begin{array}{cc}\cos \frac{\theta }{2}& -i\sin \frac{\theta }{2}\\ -i\sin \frac{\theta }{2}& \cos \frac{\theta }{2}\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

• param (Tensor | float | None) – Parameters of the gates. Defaults to None.

• param_sharing (bool | None) – Whether gates in the same layer share a parameter. Defaults to False.

Raises:

ValueError – The param must be paddle.Tensor or float.

class paddle_quantum.gate.single_qubit_gate.RY(qubits_idx=None, num_qubits=None, depth=1, param=None, param_sharing=False)

Bases: ParamGate

A collection of single-qubit rotation gates about the y-axis.

The matrix form of such a gate is:

$$\begin{array}{r}\left[\begin{array}{cc}\cos \frac{\theta }{2}& -\sin \frac{\theta }{2}\\ \sin \frac{\theta }{2}& \cos \frac{\theta }{2}\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

• param (Tensor | float | None) – Parameters of the gates. Defaults to None.

• param_sharing (bool | None) – Whether gates in the same layer share a parameter. Defaults to False.

Raises:

ValueError – The param must be paddle.Tensor or float.

class paddle_quantum.gate.single_qubit_gate.RZ(qubits_idx=None, num_qubits=None, depth=1, param=None, param_sharing=False)

Bases: ParamGate

A collection of single-qubit rotation gates about the z-axis.

The matrix form of such a gate is:

$$\begin{array}{r}\left[\begin{array}{cc}{e}^{-i\frac{\theta }{2}}& 0\\ 0& e^{i\frac{\theta }{2}}\end{array}\right]\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

• param (Tensor | float | None) – Parameters of the gates. Defaults to None.

• param_sharing (bool | None) – Whether gates in the same layer share a parameter. Defaults to False.

Raises:

ValueError – The param must be paddle.Tensor or float.

class paddle_quantum.gate.single_qubit_gate.U3(qubits_idx=None, num_qubits=None, depth=1, param=None, param_sharing=False)

Bases: ParamGate

A collection of single-qubit rotation gates.

The matrix form of such a gate is:

$$\begin{array}{r}\begin{array}{c}U3(\theta ,\varphi ,\lambda )=\left[\begin{array}{cc}\cos \frac{\theta }{2}& -e^{i\lambda }\sin \frac{\theta }{2}\\ e^{i\varphi }\sin \frac{\theta }{2}& e^{i(\varphi +\lambda )}\cos \frac{\theta }{2}\end{array}\right]\end{array}\end{array}$$

Parameters:

• qubits_idx (Iterable | int | str | None) – Indices of the qubits on which the gates are applied. Defaults to 'full'.

• num_qubits (int | None) – Total number of qubits. Defaults to None.

• depth (int | None) – Number of layers. Defaults to 1.

• param (Tensor | Iterable[float] | None) – Parameters of the gates. Defaults to None.

• param_sharing (bool | None) – Whether gates in the same layer share a parameter. Defaults to False.

Raises:

ValueError – The param must be paddle.Tensor or float.