mindquantum.core.gates.Rxy

class mindquantum.core.gates.Rxy(pr)

Rxy gate. More usage, please see RX.

$$\begin{array}{r}Rxy(\theta )=\exp (-i\frac{\theta }{2}Y\otimes X)=\left(\begin{array}{cccc}\cos \frac{\theta }{2}& 0& 0& -\sin \frac{\theta }{2}\\ 0& \cos \frac{\theta }{2}& -\sin \frac{\theta }{2}& 0\\ 0& \sin \frac{\theta }{2}& \cos \frac{\theta }{2}& 0\\ \sin \frac{\theta }{2}& 0& 0& \cos \frac{\theta }{2}\end{array}\right)\end{array}$$

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)

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()

Construct cpp obj.

matrix(pr=None, full=False, **kwargs)

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.