qoqo.operations.SpinInteraction

class qoqo.operations.SpinInteraction

The generalized, anisotropic XYZ Heisenberg interaction between spins.

\(e^{-\mathrm{i} (x \cdot X_c X_t + y \cdot Y_c Y_t + z \cdot Z_c Z_t)}\)

Where x, y, z are prefactors of the \(X_c X_t\), \(Y_c Y_t\), \(Z_c Z_t\) Pauliproducts acting on control and target qubit, with \(XX \equiv \sigma_x \sigma_x\), \(YY \equiv \sigma_y \sigma_y\) and \(ZZ \equiv \sigma_z \sigma_z\).

Parameters:
  • control (int) – The index of the most significant qubit in the unitary representation.

  • target (int) –

  • x (CalculatorFloat) – The prefactor of the XX interaction.

  • y (CalculatorFloat) – The prefactor of the YY interaction.

  • z (CalculatorFloat) – The prefactor of the ZZ interaction.

__init__()

Methods

__init__()

control()

Returns control qubit of the two-qubit operation

hqslang()

Returns hqslang name of Operation

involved_qubits()

List all involved Qubits

is_parametrized()

Returns true if operation contains symbolic parameters

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

unitary_matrix()

Return unitary matrix of gate.

x()

Returns value of attribute x

y()

Returns value of attribute y

z()

Returns value of attribute z

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

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

unitary_matrix()

Return unitary matrix of gate.

Returns:

np.ndarray

Raises:

ValueError – Error symbolic operation cannot return float unitary matrix

x()

Returns value of attribute x

y()

Returns value of attribute y

z()

Returns value of attribute z