mindquantum.core.gates.Rn
- class mindquantum.core.gates.Rn(alpha: ParameterResolver, beta: ParameterResolver, gamma: ParameterResolver)[source]
Pauli rotate about a arbitrary axis in bloch sphere.
The matrix expression is:
\[\begin{split}\begin{aligned} {\rm Rn}(\alpha, \beta, \gamma) &= e^{-i(\alpha \sigma_x + \beta \sigma_y + \gamma \sigma_z)/2}\\ &= \cos(f/2)I-i\sin(f/2)(\alpha \sigma_x + \beta \sigma_y + \gamma \sigma_z)/f\\ &\text{where } f=\sqrt{\alpha^2 + \beta^2 + \gamma^2} \end{aligned}\end{split}\]- Parameters
alpha (Union[numbers.Number, dict, ParameterResolver]) – First parameter for Rn gate.
beta (Union[numbers.Number, dict, ParameterResolver]) – Second parameter for Rn gate.
gamma (Union[numbers.Number, dict, ParameterResolver]) – Third parameter for Rn gate.
Examples
>>> import numpy as np >>> from mindquantum.core.parameterresolver import ParameterResolver >>> from mindquantum.core.gates import Rn >>> theta = ParameterResolver('theta')/np.sqrt(3) >>> Rn(theta, theta, theta).on(0, 1) Rn(α=0.5774*theta, β=0.5774*theta, γ=0.5774*theta|0 <-: 1)
- property alpha: mindquantum.core.parameterresolver.parameterresolver.ParameterResolver
Get alpha parameter of Rn gate.
- Returns
ParameterResolver, the alpha.
- property beta: mindquantum.core.parameterresolver.parameterresolver.ParameterResolver
Get beta parameter of Rn gate.
- Returns
ParameterResolver, the beta.
- property gamma: mindquantum.core.parameterresolver.parameterresolver.ParameterResolver
Get gamma parameter of Rn gate.
- Returns
ParameterResolver, the gamma.
- hermitian()[source]
Get hermitian form of Rn gate.
Examples
>>> from mindquantum.core.gates import Rn >>> rn = Rn('a', 'b', 0.5).on(0) >>> rn.hermitian() Rn(α=-a, β=-b, γ=-1/2|0)
- matrix(pr: ParameterResolver = None, full=False)[source]
Get the matrix of Rn gate.
- Parameters
pr (Union[ParameterResolver, dict]) – The parameter for Rn gate.
full (bool) – Whether to get the full matrix of this gate (the gate should be acted on some qubits). Default:
False.