qoqo.operations.GivensRotationLittleEndian
- class qoqo.operations.GivensRotationLittleEndian
The Givens rotation interaction gate in little endian notation: \(e^{-\mathrm{i} \theta (X_c Y_t - Y_c X_t)}\).
Where \(X_c\) is the Pauli matrix \(\sigma^x\) acting on the control qubit and \(Y_t\) is the Pauli matrix \(\sigma^y\) acting on the target qubit.
\[\begin{split}U = \begin{pmatrix} 1 & 0 & 0 & 0 \\\\ 0 & \cos(\theta) & \sin(\theta) & 0 \\\\ 0 & -\sin(\theta) \cdot e^{i \phi} & \cos(\theta) \cdot e^{i \phi} & 0 \\\\ 0 & 0 & 0 & e^{i \phi} \end{pmatrix}\end{split}\]- Parameters:
control (int) – The index of the most significant qubit in the unitary representation.
target (int) – The index of the least significant qubit in the unitary representation.
theta (CalculatorFloat) – The rotation angle \(\theta\).
phase (CalculatorFloat) – The phase \(\phi\) of the rotation.
- __init__()
Methods
__init__()control()Returns control qubit of the two-qubit operation
hqslang()Returns hqslang name of Operation
List all involved Qubits
Returns true if operation contains symbolic parameters
phi()Returns value of attribute phi
powercf(power)Returns Rotated gate raised to power
remap_qubits(mapping)Remap qubits
substitute_parameters(substitution_parameters)Substitutes internal symbolic parameters with float values
tags()Returns tags identifying the Operation
target()Returns target qubit of the two-qubit operation
theta()Returns angle of rotation
Return unitary matrix of gate.
- control()
Returns control qubit of the two-qubit operation
- hqslang()
Returns hqslang name of Operation
- Returns:
The name
- Return type:
str
- involved_qubits()
List all involved Qubits
- Returns:
The involved qubits as a set or ‘ALL’ if all qubits are involved
- Return type:
Union[set[int], str]
- is_parametrized()
Returns true if operation contains symbolic parameters
- Returns:
bool
- phi()
Returns value of attribute phi
- powercf(power)
Returns Rotated gate raised to power
- Parameters:
power (CalculatorFloat) – exponent of the power operation.
- Returns:
gate raised to the power of power
- Return type:
Self
- remap_qubits(mapping)
Remap qubits
- Parameters:
mapping (dict[int, int]) – The mapping
- Returns:
The operation with the remapped qubits
- Return type:
Operation
- Raises:
RuntimeError – Qubit remapping failed
- substitute_parameters(substitution_parameters)
Substitutes internal symbolic parameters with float values
Only available when all symbolic expressions can be evaluated to float with the provided parameters.
- Parameters:
substitution_parameters (dict[str, float]) – The substituted free parameters
- Returns:
The operation with the parameters substituted
- Return type:
Operation
- Raises:
RuntimeError – Parameter Substitution failed
- tags()
Returns tags identifying the Operation
- Returns:
The tags identifying the operation
- Return type:
list[str]
- target()
Returns target qubit of the two-qubit operation
- theta()
Returns angle of rotation
- unitary_matrix()
Return unitary matrix of gate.
- Returns:
np.ndarray
- Raises:
ValueError – Error symbolic operation cannot return float unitary matrix