qml.fermi.FermiC¶

class FermiC(orbital)[source]¶

Bases: pennylane.fermi.fermionic.FermiWord

The fermionic creation operator $a^{\dagger}$

For instance, the operator qml.FermiC(2) denotes $a^{\dagger}_2$. This operator applied to $\ket{0000}$ gives $\ket{0010}$.

Parameters

orbital (int) – the non-negative integer indicating the orbital the operator acts on.

Note

While the FermiC class represents a mathematical operator, it is not a PennyLane qubit Operator.

See also

FermiA

Example

To construct the operator $a^{\dagger}_0$:

>>> w = FermiC(0)
>>> print(w)
a⁺(0)

This can be combined with the annihilation operator FermiA. For example, $a^{\dagger}_0 a_1 a^{\dagger}_2 a_3$ can be constructed as:

>>> w = qml.FermiC(0) * qml.FermiA(1) * qml.FermiC(2) * qml.FermiA(3)
>>> print(w)
a⁺(0) a(1) a⁺(2) a(3)

Methods

adjoint()

Return the adjoint of FermiC.

adjoint()[source]¶

Return the adjoint of FermiC.