mindquantum.core.gates.Rxz

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class mindquantum.core.gates.Rxz(pr)[source]

Rxz gate. More usage, please see RX.

\[\begin{split}Rxz(\theta) = \exp{\left(-i\frac{\theta}{2} Z\otimes X\right)} = \begin{pmatrix} \cos{\frac{\theta}{2}} & -i\sin{\frac{\theta}{2}} & 0 & 0\\ -i\sin{\frac{\theta}{2}} & \cos{\frac{\theta}{2}} & 0 & 0\\ 0 & 0 & \cos{\frac{\theta}{2}} & i\sin{\frac{\theta}{2}}\\ 0 & 0 & i\sin{\frac{\theta}{2}} & \cos{\frac{\theta}{2}}\\ \end{pmatrix}\end{split}\]
Parameters

pr (Union[int, float, str, dict, ParameterResolver]) – the parameters of parameterized gate, see above for detail explanation.

diff_matrix(pr=None, about_what=None)[source]

Differential form of this parameterized gate.

Parameters
  • pr (Union[ParameterResolver, dict]) – The parameter value for parameterized gate. Default: None.

  • about_what (str) – calculate the gradient w.r.t which parameter. Default: None.

Returns

numpy.ndarray, the differential form matrix.

get_cpp_obj()[source]

Construct cpp obj.

matrix(pr=None, full=False, **kwargs)[source]

Get the matrix of this parameterized gate.

Parameters
  • pr (Union[ParameterResolver, dict]) – The parameter value for parameterized gate. Default: None.

  • full (bool) – Whether to get the full matrix of this gate (the gate should be acted on some qubits). Default: False.

  • kwargs (dict) – other key arguments.

Returns

numpy.ndarray, the matrix of this gate.