mindquantum.core.gates.U3

class mindquantum.core.gates.U3(theta: ParameterResolver, phi: ParameterResolver, lamda: ParameterResolver)[source]

U3 gate represent arbitrary single qubit gate.

U3 gate with matrix as:

\[\begin{split}{\rm U3}(\theta, \phi, \lambda) =\begin{pmatrix}\cos(\theta/2)&-e^{i\lambda}\sin(\theta/2)\\ e^{i\phi}\sin(\theta/2)&e^{i(\phi+\lambda)}\cos(\theta/2)\end{pmatrix}\end{split}\]

It can be decomposed as:

\[U3(\theta, \phi, \lambda) = RZ(\phi) RX(-\pi/2) RZ(\theta) RX(\pi/2) RZ(\lambda)\]

Parameters

theta (Union[numbers.Number, dict, ParameterResolver]) – First parameter for U3 gate.
phi (Union[numbers.Number, dict, ParameterResolver]) – Second parameter for U3 gate.
lamda (Union[numbers.Number, dict, ParameterResolver]) – Third parameter for U3 gate.

Examples

>>> from mindquantum.core.gates import U3
>>> U3('theta','phi','lambda').on(0, 1)
U3(θ=theta, φ=phi, λ=lambda|0 <-: 1)

get_cpp_obj()[source]: Construct cpp obj.

hermitian()[source]

Get hermitian form of U3 gate.

Examples

>>> from mindquantum.core.gates import U3
>>> u3 = U3('a', 'b', 0.5).on(0)
>>> u3.hermitian()
U3(θ=-a, φ=-1/2, λ=-b|0)

property lamda: mindquantum.core.parameterresolver.parameterresolver.ParameterResolver

Get lamda parameter of U3 gate.

Returns: ParameterResolver, the lamda.

matrix(pr: ParameterResolver = None, full=False)[source]

Get the matrix of U3 gate.

Parameters

pr (Union[ParameterResolver, dict]) – The parameter for U3 gate.
full (bool) – Whether to get the full matrix of this gate (the gate should be acted on some qubits). Default: False.

property phi: mindquantum.core.parameterresolver.parameterresolver.ParameterResolver

Get phi parameter of U3 gate.

Returns: ParameterResolver, the phi.

property theta: mindquantum.core.parameterresolver.parameterresolver.ParameterResolver

Get theta parameter of U3 gate.

Returns: ParameterResolver, the theta.