qoqo.operations.Fsim

class qoqo.operations.Fsim

The fermionic qubit simulation (Fsim) gate.

\[\begin{split}U = \begin{pmatrix} \cos(\Delta) & 0 & 0 & i \sin(\Delta) \\\\ 0 & -i \sin(t) & \cos(t) & 0 \\\\ 0 & \cos(t) & -i \sin(t) & 0 \\\\ -\sin(\Delta) \cdot e^{-i U} & 0 & 0 & -\cos(\Delta) \cdot e^{-i U} \end{pmatrix}\end{split}\]
Parameters:
  • control (int) – The index of the most significant qubit in the unitary representation.

  • target (int) –

  • t (CalculatorFloat) – The hopping strength.

  • u (CalculatorFloat) – The interaction strength.

  • delta (CalculatorFloat) – The Bogoliubov interaction strength \(\Delta\).

Note: The qubits have to be adjacent, i.e., \(|i-j|=1\) has to hold. This is the only case in which the gate is valid as a two-qubit gate (due to the Jordan-Wigner transformation).

__init__()

Methods

__init__()

control()

Returns control qubit of the two-qubit operation

delta()

Returns value of attribute delta

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

t()

Returns value of attribute t

tags()

Returns tags identifying the Operation

target()

Returns target qubit of the two-qubit operation

u()

Returns value of attribute u

unitary_matrix()

Return unitary matrix of gate.

control()

Returns control qubit of the two-qubit operation

delta()

Returns value of attribute delta

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

t()

Returns value of attribute t

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

u()

Returns value of attribute u

unitary_matrix()

Return unitary matrix of gate.

Returns:

np.ndarray

Raises:

ValueError – Error symbolic operation cannot return float unitary matrix